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## Explain how to write and evaluate an algebraic expression. one more than the product of a number and seven, decreased by five; evaluate when n = 6

Step-by-step explanation:

Replace key words with variables, numbers, and operations. More than is addition, product is multiplication, and decreased by is subtraction. The constants are 1, 7, and 5. The expression is 1 + 7n – 5. To evaluate the expression, substitute 6 in for the variable, and then use order of operations to simplify. The value when n = 6 is 38.

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## What is a potential benefit of fuel cell cars? increased efficiency converting gasoline to energy no recharging necessary decreased automobile cost larger engines

What is a potential benefit of fuel cell cars? increased efficiency converting gasoline to energy no recharging necessary decreased automobile cost larger engines

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## Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x) = 2(0.8)x Which graph best represents the function? graph of function f of x equals 0.8 multiplied by 2 to the power of x graph of function f of x equals 0.8 to the power of x graph of function f of x equals 2 to the power of x function of f of x equal 2 multiplied by 0.8 to the power of x

After Greg makes the pudding 1 time, it takes him  hours to make it.

After Greg makes the pudding 2 times, it takes him  hours to make it

After Greg makes the pudding 2 times, it takes him  hours to make it

so The function is

Answer: f of x equals 2 multiplied by 0.8 to the power of x

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## When milgram modified his shock experiment so that the teacher could see the learner, the level of obedience decreased. increased slightly. remained unchanged. increased greatly?

The correct answer is decreased. It did decrease but it was only slightly and the “teachers” still kept doing what they were doing. Another thing where it decreased was when the venue was changed from Yale to a regular city. Both cases resulted in slight decrease but nothing significant.

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## In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.

In the past ten years, the population of a city decreased from 90,000 to 75,000 Find the percent decrease.

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## Which expression correctly represents “six more than the product of five and a number, decreased by one”?

Which expression correctly represents “six more than the product of five and a number, decreased by one”?

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## When hydrochloric acid and zinc were combined, the flask was sealed and thus no gas could escape from the flask. why did the pressure decrease as the temperature decreased?

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## A 32-year-old male was injured in a motor vehicle accident and confined to bed for 3 weeks. during this time, the size and strength of muscle fibers decreased, a condition referred to as:

Kamala Markandaya  was a pseudonym used by Kamala Purnaiya Taylor who was born on 01 January 1924 and died on 16 May 2004. She was an Indian novelist and journalist. A native of Mysore, India, Markandaya was a graduate of Madras University, and afterwards published several short stories in Indian newspapers. After India declared its independence, Markandaya moved to Britain, however, she still considered herself an Indian expatriate long afterwards.

Known for writing about culture between Indian urban and rural societies, Markandaya’s first published novel, Nectar in a Sieve, was a bestseller and cited as an American Library Association Notable Book in 1955.

The book is set in India during a period of intense urban development and is the chronicle of the marriage between Rukmani, youngest daughter of a village headman, and Nathan, a tenant farmer. The story is told in the first person by Rukmani, beginning from her arranged marriage to Nathan at the age of 12 to his death many years later.

Food is a critical aspect in the development of the story, Rukmani and Nathan struggle to feed their children and to pay the rent on the land that gives them life. Although difficulties continue to worsen, they quietly resign themselves to ever-increasing sufferings: flood, famine, even death, yet they stick to their hopes for a better future.

One definition of the word season as it is used in Nectar in a Sieve is that:

it is a period of the year associated with something in particular that happens every year

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## A 59-year-old female with history of non-insulin-dependent diabetes mellitus (niddm), hypertension, and chronic kidney disease (ckd) returns for follow-up of her labs. you note that she her gfr has decreased from 40 to 36 ml/min/1.73m 2 . what stage of chronic kidney disease is she currently

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. BMI test level is high from normal ranges shows that she is at higher risk of disease. She should lose weight and concern to the doctor.

Further Explanation:

Body mass index (BMI) is a measured value derived from the height of a person and mass.

BMI indicates whether the person is healthy or overweight mainly used by physicians.

• Range of BMI in a normal person is 18.5-25

• Range of BMI in skinfold person is 25-30

• Range of BMI in underweight person is 15-18.5

The skinfold measurement test is used to determine a person’s body fat percentage and body composition.

In this test, we are the proportion of body fat by determining skinfold thickness at pinches specific part of the body. The estimate of these folds is determined the fat beneath the skin, also called subcutaneous adipose tissue.

The tester pinches the skin at the site and drags the fold of skin away from the muscle so only the fat tissue and skin are being held. The skinfold thickness is measured by skinfold calipers in millimeters.

Skin test includes the seven locations of the body:

1. Triceps

3. Suprailiac

4. Pectoral

5. Subscapular

6. Midaxilla

7. Abdomen

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. Females with waist size 47 inches have higher risk of having disease. BMI test level is high from normal ranges shows that she is at higher risk of disease.She should lose weight and concern to the doctor.

Subject: Health

Chapter: Physical Fitness

Keywords:

Body index mass, weight, doctor, triceps, abdomen, midaxilla, Quadriceps, skinfold, mass, height, pectoral.

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## A fixed amount of gas occupies a volume of 7.25 l at a pressure of 4.52 atm. what will be the volume occupied if the pressure is decreased to 1.21 atm at constant temperature?

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## Medical schools have begun to employ which method to help decreased doubt and improve the application of medical knowledge? 1. clinical rotoations 2. extended residency programs 3. evidence-based medicine 4. grand rounds

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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## Eighty seven decreased by three times a number is greater than one hundred sixty-five

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## Eighty seven decreased by three times a number is greater than one hundred sixty five

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=   …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

Subtract [2] and [3]

……….[4]

Add equation [1] and [4], to get values of x and y

Substitute x in [1]

Substitute value of x in equation [2], to get z

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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## The variable expression for the phrase n decreased by 2 would be?

The variable expression for the phrase n decreased by 2 would be?

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## What were four significant consequences of the 1911 RevolutionWhat were four significant consequences of the 1911 Revolution? end of Communist government in China lack of social reforms and changes blame shifting to anti-imperialism decreased foreign influence loss of territory increase of Confucianism increased foreign influence

The Reformation actually started after Columbus’s landing in North America.

Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner.

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony.

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world.

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too.

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way.

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again.

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it.

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies.

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists.

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out.

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out.

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## Thirty -two decreased by twice a number is less than eighteen

Thirty -two decreased by twice a number is less than eighteen

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## NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A scientist measures the rate of a reaction between two liquids. Then he performs the reaction again, adding solid manganese. The reaction takes place more quickly the second time. The mass of the manganese decreased by 0.45 grams during the reaction. He claims that the manganese acted as a catalyst because it sped up the reaction. Explain what is wrong with the scientists’ reasoning.

Density = (mass) / (volume)

4,000 kg/m³ = (mass) / (0.09 m³)

Multiply each side
by  0.09 m³ :           (4,000 kg/m³) x (0.09 m³) = mass

mass = 360 kg .

Force of gravity = (mass) x (acceleration of gravity)

= (360 kg) x (9.8 m/s²)

= (360 x 9.8)  kg-m/s²

=   3,528 newtons .

That’s the force of gravity on this block, and it doesn’t matter
what else is around it.  It could be in a box on the shelf or at
the bottom of a swimming pool . . . it’s weight is 3,528 newtons

Now, it won’t seem that heavy when it’s in the water, because
there’s another force acting on it in the upward direction, against
gravity.  That’s the buoyant force due to the displaced water.

The block is displacing 0.09 m³ of water.  Water has 1,000 kg of
mass in a m³, so the block displaces 90 kg of water.  The weight
of that water is  (90) x (9.8) = 882 newtons (about 198.4 pounds),
and that force tries to hold the block up, against gravity.

So while it’s in the water, the block seems to weigh

(3,528  –  882) = 2,646 newtons  (about 595.2 pounds) .

But again … it’s not correct to call that the “force of gravity acting
on the block in water”.  The force of gravity doesn’t change, but
there’s another force, working against gravity, in the water.

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## AYSO has 18 8th grade boys teams this year, but this a 28% (rounded to the nearest whole number) decreased from the prior year. How many 8th graders teams were there last year?

Let the unknown value be ‘x’

Consider the three consecutive multiples of 5 as ‘x’, ‘(x + 5)’ and ‘(x + 10)’

First number = x
Second number = (x + 5)
Third number = (x + 10)

Using the above statement, “The square of the third number, decreased by 5 times the second number = 25 more than twice the product of the first two numbers,” let us form an equation

(x + 10)² – 5(x + 5) = 25 + (2 (x) (x + 5) )
x² + 20x + 100 – 5x – 25 = 25 + 2x² + 10x
x² + 15x + 75 = 2x² + 10x + 25

Bringing everything to one side,

0 = 2x² + 10x + 25 -x² -15x -75
or
2x² + 10x + 25 -x² -15x -75 = 0
x² – 5x – 50 = 0

Factorising the above equation,
(x – 10) (x + 5) = 0 ⇒ x = 10 or x = -5

If x = 10, then the three consecutive numbers are 10, 15, 20.

Let us check if it follows the above statement!

Square of the third number, decreased by 5 times the second number = 25 more than twice the product of the first two numbers
20² – (5 x 15) = 25 + (2 x (10 x 15))
400 – 75 = 25 + (2 x 150)
325 = 25 + 300
325 = 325

Now let us try with x = -5. The three consecutive numbers are -5, 0, 5

Let us check if it follows the above statement.

Square of the third number, decreased by 5 times the second number = 25 more than twice the product of the first two numbers
5² – (5 x 0) = 25 + (2 x (-5 x 0))
25 – 0 = 25 + (2 x 0)
25 = 25 + 0
25 = 25

Hence both x = 10 and x = -5 are correct

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## At 5 am in the morning, the outside temperature was 39° f. by 5 pm that same day, the outside temperature had increased by 43.59%. at 3 am the next day, the temperature had decreased by 25% of the temperature reading taken at 5 pm the previous day. determine, with the given information, what the outside temperature was at 3 am the next day. round your answer to the nearest degree.

The answer is The price of pepperoni pizza slice is $2.5. The price of supreme pizza slice is$4.

p – the price of pepperoni pizza slice
s – the price of supreme pizza slice

According to the table:
On the day 1, 500 pepperoni pizza slices is sold for the price p (500p) and 620 supreme pizza slices is sold for the price s (620s) and the total amount was $3,730: 500p + 620s = 3730 On the day 1, 500 pepperoni pizza slices is sold for the price p (500p) and 430 supreme pizza slices is sold for the price s (430s) and the total amount was$2,970: 500p + 430s = 2970

So, we have the system of two equations:
500p + 620s = 3730
500p + 430s = 2970
________________
Let’s multiply both sides of the second equation by (-1):
500p + 620s = 3730
(-1)(500p + 430s) = (-1) * 2970
________________
500p + 620s = 3730
(-1) * 500p + (-1) * 430s = (-1) * 2970
_______________
500p + 620s = 3730
-500p – 430s = -2970
_______________
Let’s add up these two equations:
500p + 620s + (-500p – 430s) = 3730 + (-2970)
_______________
Rewrite it:
500p + 620s – 500p – 430s = 3730 – 2970
500p – 500p + 620s – 430s = 760
0p + 190s = 760
190s = 760
s = 760/190
s = 4
The price of supreme pizza slice is $4. Now, replace s in one of the above expressions: 500p + 620s = 3730 500p + 620 * 4 = 3730 500p + 2480 = 3730 500p = 3730 – 2480 500p = 1250 p = 1250/500 p = 2.5 The price of pepperoni pizza slice is$2.5.

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## Orange leaf yogurt company decreased the amount of yogurt in each container contain 85% less yogurt than the original container. The number line shows the original amount in each container. Which point represents the new amount?

Given the two points and , we are going to use the slope formula, , to find the slope of the line passing throughout our two points; then, we are going to replace the values in the point slope formula, , and simplify to complete the equation of our line.

Let’s check this out with an example:

suppose you have the points (1,5) and (3,8), so , , , and .

First, we are going to use the slope formula to find the slope of the line passing throughout our two points:

Now that we have the slope of our line, we can use the point slope formula to complete our line equation:

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## The original population of brown spotted deer declined drastically after their forest habitat was flooded. After frantic efforts over three decades by the forest authorities to revive the dwindling population, it did bounce back. Now the deer population is as huge as it was three decades ago, but it shows a decreased amount of genetic variations. Which factor could be responsible for this microevolution?

The original population of brown spotted deer declined drastically after their forest habitat was flooded. After frantic efforts over three decades by the forest authorities to revive the dwindling population, it did bounce back. Now the deer population is as huge as it was three decades ago, but it shows a decreased amount of genetic variations. Which factor could be responsible for this microevolution?

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## Related Questions

Posted in Biology

How does meiosis ensure genetic diverlty

Two ways:
1. In prophase I of meiosis the homologous chromosomes synapse and crossing over occurs. This switches sections of two of the sister chromatids so the outer two chromatids have the same mix of alleles as the parents and the inner two chromatids have new combinations of alleles.
2. Meiosis puts only one of each kind of chromosome in the gametes, selecting one of each homologous pair at random. Then when each gamete joins with the gamete from the other parent, there are practically infinite combinations of the alleles possible.

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Posted in Biology

Study the following food chain : grass>rabbits>snakes>hawks.From this chain, you can correctly assume that each population. A) is a species of a herbivore . B) always larger than the one before it . C) Is a carnivore. D) supports the next tropical level.

The answer is D, for when one tropic level is eaten by the tropic level above it, the tropic level is supporting the higher one. I. E. Rabbits are supported by the grass because rabbits eat the grass. Also, the grass population would be larger than rabbits, the rabbits larger than snakes, so on and so forth, so B is ruled out. B states that each population is larger than the one BEFORE it, but there is no way there would be more rabbits than grass. Also, there are both herbivores and carnivores in the food chain, so A and C are out. The best answer is D.

Posted in Biology

The burrowing owl is found in dry, open areas such as grasslands, prairies, savannas, deserts, farmlands, golf courses, and other urban areas throughout most of western United States and Florida, Central America, and most of South America. It makes its home in burrows of other animals and primarily eats insects and small rodents. As humans build more cities, nearby burrowing owl habitats change due to destruction of burrows and loss of prey. Which is the least likely outcome of the habitat changes that are described? The niche of the burrowing owl may change as it adapts to the changes. The niche of the burrowing owl may change as it moves to a new habitat. The population of the burrowing owl may be reduced or even become extinct. The population of the burrowing owl may increase in its new surroundings.

The correct answer would be “The population of the burrowing owl may increase in its new surroundings”.

Habitat destruction is one of the major causes of extinction of many species.

The living species either move to a new habitat or get extinct due to the scarcity of resources.

In new habitats or niches, they face lot challenges like competition from already existing species, new resources due to which their survival rates reduce to a great extent.

They may evolve to adapt to new habitats, resources, and niches.

Thus, there are least chances that the population of burrowing owl may increase in its new surroundings.

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Posted in Biology

Which theory best explains the present arrangement of continents, oceans, and landforms on Earth? the Pangaea theory Wegener’s continental theory The continental puzzle theory plate tectonic theory

Plate tectonic theory

Plate tectonics is the theory that describes the global distribution of geological phenomena of Earth such as the arrangement of regions, seas, and landforms. Generally, it applies to the action and interaction of the earth’s lithosphere. This comprises the composition, movement, interference, and destruction of plates and the resulting geological phenomena such as seismicity, volcanism, continental drift, and elevation or ranges building.

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Posted in Biology

What two factors does carrying capacity compare?

Factors that carrying capacity compare

a) Availability of food & water

b) Sufficient availability of living space and environmental condition

c) Population size

Explanation:

Carrying capacity is defined as the maximum population that a given ecosystem can carry without creating any burden on the ecosystem itself and its components.

Basically the factors that a carrying capacity compare are –

a) Availability of food & water

b) Sufficient availability of living space and environmental condition

c) Population size

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## Consider this system at equilibrium. A(aq) B(aq) Delta H= -550 kL/mol What can be said about Q and K immediately after an increase in temperature? a) Q > K because Q increased b) Q > K because K decreased c) Q Q is the “reaction quotient” and is used to determine which way a given system will move to establish equilibrium. If the initial conditions give a Q which is larger than K, then the equilibrium will move to the left to establish equilibrium. If the value of Q is less than the value of K, then the system will move to the right to establish equilibrium. If Q happens to equal K, then the system is at equilibrium. When equilibrium is re-established the value of K will be greater. Temperature changes are the only changes that actually change the value of K.

The enthalpy of the given reaction is

Further Explanation:

This problem is based upon Hess’s Law. Hess’s law is utilized for calculating the enthalpy change of a reaction that can be obtained simply by summation of two or more reactions. In accordance with the Hess’s law, of an overall reaction is obtained by adding the enthalpy change for each individual step reaction involved to obtain the overall reaction.

Enthalpy is defined as a state function and therefore its value depends upon the initial and final state of system but not upon the path. This is the reason that the overall reaction can be simply obtained by adding or subtracting the enthalpy change of the individual steps utilized to get the final reaction.

Step 1: The enthalpy change of the following reaction is  .

…… (1)

The value of is -725 kJ.

Step 2: The enthalpy change of the following reaction is .

…… (2)

The value of is -74.5 kJ

Step 3: The enthalpy change of the following reaction is .

…… (3)

The value of is -1845 kJ.

Step 4: The enthalpy change of the following reaction is  .

…… (4)

The value of is -476 kJ.

Step 5: The enthalpy change of the following reaction is .

…… (5)

Step 6: Multiply equation (2) by 6, equation (3) by 3 and equation (4) by 3. Add the resulting equation (3) and equation (1). Subtract the resulting equation (2) and equation (4). The final equation obtained is as follows:

…… (6)

Step 7: The expression to calculate is as follows:

…… (7)

Substitute -725 kJ for , -74.8 kJ for and -1845 kJ for and -476 kJ for  in equation (7).

Hence, the enthalpy of   is -4383.2 kJ.

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