
Two solids dissociate as follows:
The total pressure when both the solids dissociate simultaneously is:
(A) atm
(B) atm
(C) atm
(D) atm
Answer
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Hint :When a solid dissociates into two gases, we can assume that the pressure of both the gases is the same. So, do that and then try and find the total pressure using equilibrium constant using the pressure of gases.
Complete answer:
We are given that two solids dissociate simultaneously to form gases. We will try and find the total pressure of the mixture of gases.
- In the dissociation reaction of A, we can see that two gases B and C are formed. Both of these gases will have the same pressure because they are produced in the same amounts. So, assume that gases B and C have pressure .
- Same way gases C and E are formed from D. Thus, we can say that the pressure of C and E will be the same. We assume that the pressure of C and E is .
Now, we can say that total pressure of C =
- Now, for reaction (1), we can write its equilibrium constant in terms of pressure as
But we know that the reactant is solid and it does not have any pressure. So, we can write that
But we already assumed that and
So, we can write that
But we are given that So,
For reaction (2), we can also write that
So, we obtain
Adding equations (1) and (2), we get
Now, total pressure can be given as
Putting the available values into above equation, we get
But we obtained that . So, we can put its value in above equation and we will get
Thus, the correct answer of this question is (B).
Note:
Remember that in the expression of equilibrium constant of the reaction, we can either use molar concentration or partial pressures. We cannot use both at the same time. The equilibrium constant is independent of the inert gases present in the mixture.
Complete answer:
We are given that two solids dissociate simultaneously to form gases. We will try and find the total pressure of the mixture of gases.
- In the dissociation reaction of A, we can see that two gases B and C are formed. Both of these gases will have the same pressure because they are produced in the same amounts. So, assume that gases B and C have pressure
- Same way gases C and E are formed from D. Thus, we can say that the pressure of C and E will be the same. We assume that the pressure of C and E is
Now, we can say that total pressure of C =
- Now, for reaction (1), we can write its equilibrium constant in terms of pressure as
But we know that the reactant is solid and it does not have any pressure. So, we can write that
But we already assumed that
So, we can write that
But we are given that
For reaction (2), we can also write that
So, we obtain
Adding equations (1) and (2), we get
Now, total pressure can be given as
Putting the available values into above equation, we get
But we obtained that
Thus, the correct answer of this question is (B).
Note:
Remember that in the expression of equilibrium constant of the reaction, we can either use molar concentration or partial pressures. We cannot use both at the same time. The equilibrium constant is independent of the inert gases present in the mixture.
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