In a binary solution of A and B, if the vapor pressure of A is 80 mmHg and that of B is 40 mmHg, what is the total vapor pressure of the solution if the mole fraction of A is 0.75?
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Q1
In a binary solution of A and B, if the vapor pressure of A is 80 mmHg and that of B is 40 mmHg, what is the total vapor pressure of the solution if the mole fraction of A is 0.75?
Q: In a binary solution of A and B, if the vapor pressure of A is 80 mmHg and that of B is 40 mmHg, what is the total vapor pressure of the solution if the mole fraction of A is 0.75?
Step 1: Identify the vapor pressure of component A, which is 80 mmHg.
Step 2: Identify the vapor pressure of component B, which is 40 mmHg.
Step 3: Determine the mole fraction of A, which is given as 0.75.
Step 4: Calculate the mole fraction of B. Since the total mole fraction must equal 1, the mole fraction of B is 1 - 0.75 = 0.25.
Step 5: Calculate the contribution of A to the total vapor pressure using the formula: P_A = mole fraction of A * vapor pressure of A. This gives P_A = 0.75 * 80 = 60 mmHg.
Step 6: Calculate the contribution of B to the total vapor pressure using the formula: P_B = mole fraction of B * vapor pressure of B. This gives P_B = 0.25 * 40 = 10 mmHg.
Step 7: Add the contributions of A and B to find the total vapor pressure: Total vapor pressure = P_A + P_B = 60 + 10 = 70 mmHg.
