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PA and PB are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If XA represents the mole fraction of component A, the total pressure of the solution will be. [2012]
- a)PA + XA (PB – PA)
- b)PA + XA (PA – PB)
- c)PB + XA (PB – PA)
- d)PB + XA (PA – PB)
Correct answer is option 'D'. Can you explain this answer?
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PA and PB are the vapour pressure of pure liquid components, A and B, ...
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PA and PB are the vapour pressure of pure liquid components, A and B, ...
Explanation:
Given:
PA = Vapour pressure of component A
PB = Vapour pressure of component B
XA = Mole fraction of component A
Total pressure of the solution:
The total pressure of the solution is the sum of the partial pressures of the two components in the ideal binary solution. The partial pressure of component A is given by XA * PA and the partial pressure of component B is given by (1 - XA) * PB.
Calculation:
Total pressure = XA * PA + (1 - XA) * PB
= XA * PA + PB - XA * PB
= PB + XA * (PA - PB)
Therefore, the total pressure of the solution is PB + XA * (PA - PB), which corresponds to option 'D'.
Given:
PA = Vapour pressure of component A
PB = Vapour pressure of component B
XA = Mole fraction of component A
Total pressure of the solution:
The total pressure of the solution is the sum of the partial pressures of the two components in the ideal binary solution. The partial pressure of component A is given by XA * PA and the partial pressure of component B is given by (1 - XA) * PB.
Calculation:
Total pressure = XA * PA + (1 - XA) * PB
= XA * PA + PB - XA * PB
= PB + XA * (PA - PB)
Therefore, the total pressure of the solution is PB + XA * (PA - PB), which corresponds to option 'D'.
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PA and PB are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If XA represents the mole fraction of component A, the total pressure of the solution will be. [2012]a)PA + XA (PB – PA)b)PA + XA (PA – PB)c)PB + XA (PB – PA)d)PB + XA (PA – PB)Correct answer is option 'D'. Can you explain this answer?
Question Description
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Solutions for PA and PB are the vapour pressure of pure liquid components, A and B, respectively of an ideal binary solution. If XA represents the mole fraction of component A, the total pressure of the solution will be. [2012]a)PA + XA (PB – PA)b)PA + XA (PA – PB)c)PB + XA (PB – PA)d)PB + XA (PA – PB)Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 12.
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