1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
boyakko [2]
3 years ago
10

Given K = 3.61 at 45°C for the reaction A(g) + B(g) equilibrium reaction arrow C(g) and K = 7.19 at 45°C for the reaction 2 A(g)

+ D(g) equilibrium reaction arrow C(g) what is the value of K at the temperature for the following reaction? C(g) + D(g) equilibrium reaction arrow 2 B(g) What is the value of Kp at 45°C for the same reaction? Starting with 1.64 atm partial pressures of both C and D, what is the mole fraction of B once equilibrium is reached?
Chemistry
1 answer:
Firlakuza [10]3 years ago
8 0

Answer:

K = 0.55

Kp = 0.55

mol fraction B = 0.27

Explanation:

We need to calculate the equilibrium constant for the reaction:

C(g) + D(g) ⇄ 2B(g)              K₁= ?                       (1)

and we are given the following equilibria with their respective Ks

A(g) + B(g) ⇄ C(g)                 K₂= 3.61                 (2)

2 A(g) + D(g)  ⇄ C(g)             K₃= 7.19                 (3)

all at 45 ºC.

What we need to do to solve this question is to manipulate equations (2) and (3)  algebraically  to get our desired equilibrium (1).

We are allowed to reverse  reactions, in that case we take the reciprocal of K as our new K' ; we can also  add two equilibria together, and the new equilibrium constant will be the product of their respective Ks .

Finally if we multiply by a number then we raise the old constant to that factor to get the new equilibrium constant.

With all this  in mind, lets try to solve our question.

Notice A is not in our goal equilibrium (3)  and we want D as a reactant . That  suggests we should reverse the first equilibria and multiply it by two since we have 2 moles of B  as product in our  equilibrium (1) . Finally we would add (2) and (3) to get  (1) which is our final  goal.

2C(g)             ⇄  2A(g) + 2B(g)  K₂´= ( 1/ 3.61 )²  

                                   ₊

2 A(g) + D(g)  ⇄     C(g)               K₃ = 7.19  

<u>                                                                                    </u>

C(g) + D(g)     ⇄    2B(g)       K₁ = ( 1/ 3.61 )²   x  7.19

                                             K₁ = 0.55

Kp is the same as K = 0.55 since the equilibrium constant expression only involves  gases.

To compute the last part lets setup the following mnemonic  ICE table to determine the quantities at equilibrium:

pressure (atm)        C             D           B

initial                     1.64          1.64         0

change                    -x             -x        +2x

equilibrium          1.64-x         1.64-       2x

Thus since

Kp =0.55 = pB²/ (pC x pD) = (2x)²/ (1.64 -x)²  where p= partial pressure

Taking square root to both sides of the equation we have

√0.55 = 2x/(1.64 - x)

solving for x  we obtain a value of 0.44 atm.

Thus at equilibrium we have:

(1.64 - 0.44) atm = 1.20 atm = pC = p D

2(0.44) = 0.88 = pB

mole fraction of B = partial pressure of B divided into the total gas pressure:

X(B) = 0.88 / ( 1.20 + 1.20 + 0.88 ) = 0.27

You might be interested in
When two identical nonmetal atoms are bonded together the result is a?
Irina-Kira [14]
/A DIATOMIC MOLECULE
4 0
3 years ago
For an experiment, a student needs a compound that has the following properties.
Neporo4naja [7]
The correct answer is Potassium Chloride.

<span />
7 0
3 years ago
Read 2 more answers
How many grams of KCIO3 will be formed from 3.58g of KCI
blsea [12.9K]

Answer:

5 mols

Explanation:

7 0
3 years ago
34. Explain how dimensional analysis is used to solve<br> problems.
alisha [4.7K]

Answer: By understanding conversion factors and how they are related to each other

Explanation:

Dimensional Analysis is a step by step approach to solving problems in Physics, Chemistry , and Mathematics. It involves having a clear knowledge and understanding to be able to convert a given unit to another in the same dimension using  conversion factors and knowing how they are related to each other.

For instance, In Chemistry, we want to Convert 120mL to L.(note that ml stands for millilitres and ;L stands for litres)

Or first approach will be to write out the conversion factor related to our problem which is

1000ml =1L

such that 120ml = (we cross multiply))

giving us  120ml x 1L/1000ml =0.12L

This same process is applied to convert any type of dimensional analysis problems be it physics or mathematics.

7 0
3 years ago
Atoms in a gaseous state have
Mumz [18]
More energy than atoms in a liquid state
6 0
3 years ago
Read 2 more answers
Other questions:
  • Consider the compound Pb(SO4)2 and answer the following questions:
    11·1 answer
  • I’m microsoft word you can access what from the mini toolbar
    15·1 answer
  • Which of the following best describes the main function of the nervous system?
    14·1 answer
  • List the following elements in order of increasing number of valence electrons: C, CI, As, Na, He.
    13·1 answer
  • Why does chromium have a 3 charge? why is chromium (vi) oxide [cro3} not chromium 3 oxide?
    12·1 answer
  • A hydrogen atom has a radius of 2.5 x 10^11m
    12·2 answers
  • (Numerical problems) A car is running with the velocity of 72km/h. What will be it's velocity after 5s if it's acceleration is -
    5·1 answer
  • 1. Which type of blood cell is the most numerous in the body?
    5·2 answers
  • Define and explain the concept of density as a property of matter
    12·2 answers
  • How does a car safely transfer the kinetic energy of the passenger and the car?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!