
At temperature T K, is 50% dissociated at an equilibrium pressure of 4 atm. At what pressure it would dissociate to the extent of 60% at the same temperature?
A. 0.05 atm
B. 0.50 atm
C. 0.75 atm
D. 2.50 atm
Answer
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Hint: There is a relationship between partial pressure of the gas, mole fraction and total pressure and it is as follows.
Complete answer:
- In the question it is given that phosphorus pentachloride is 50% dissociated at 4 atm pressure, at what pressure 60% of the phosphorus pentachloride will dissociate.
- We have to find the pressure of 60% dissociation of the phosphorus pentachloride.
- The chemical equation of dissociation of phosphorus pentachloride is as follows.
- Total number of moles at equilibrium = 1- x + x + x = 1 + x
- We know the relationship between partial pressure of the gas, mole fraction and total pressure.
- Here x = 50% dissociation of the phosphorus pentachloride = 0.5
- Therefore substitute x = 0.5 in the above equation.
- The x value for 80% dissociation is 0.8.
- Therefore
- Therefore at 0.75 atm of pressure 80% of the dissociation of the phosphorus pentachloride occurs.
So, the correct option is C.
Note:
First we have to calculate the mole fraction of 50 % of the dissociation of the phosphorus pentachloride. Later substitute the mole fraction value of 50% dissociation of the phosphorus pentachloride to get the pressure exerted by the dissociation of the 80% of the phosphorus pentachloride.
Complete answer:
- In the question it is given that phosphorus pentachloride is 50% dissociated at 4 atm pressure, at what pressure 60% of the phosphorus pentachloride will dissociate.
- We have to find the pressure of 60% dissociation of the phosphorus pentachloride.
- The chemical equation of dissociation of phosphorus pentachloride is as follows.
- Total number of moles at equilibrium = 1- x + x + x = 1 + x
- We know the relationship between partial pressure of the gas, mole fraction and total pressure.
- Here x = 50% dissociation of the phosphorus pentachloride = 0.5
- Therefore substitute x = 0.5 in the above equation.
- The x value for 80% dissociation is 0.8.
- Therefore
- Therefore at 0.75 atm of pressure 80% of the dissociation of the phosphorus pentachloride occurs.
So, the correct option is C.
Note:
First we have to calculate the mole fraction of 50 % of the dissociation of the phosphorus pentachloride. Later substitute the mole fraction value of 50% dissociation of the phosphorus pentachloride to get the pressure exerted by the dissociation of the 80% of the phosphorus pentachloride.
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