Two liquids Aand B form an ideal solution. The solution has a vapor pressure of 700 Torr at 80C. It is distilled till 2/3 of the solution is collected as condensate. The composition of the condensate is xA= 0.75 and that of the residue is xA= 0.30. If the vapor pressure of the residue at 80C is 600 Tom, which of the following is/ are true?a)Tile composition of the original liquid was xA = 0.6.b)The composition of the original liquid was xA = 0.4.c)PA = 2500/3Torr.d)PB = 500 Torr.Correct answer is option 'A,C,D'. Can you explain this answer?

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Two liquids Aand B form an ideal solution. The solution has a vapor pressure of 700 Torr at 80°C. It is distilled till 2/3°' of the solution is collected as condensate. The composition of the condensate is x'A= 0.75 and that of the residue is x"A= 0.30. If the vapor pressure of the residue at 80°C is 600 Tom, which of the following is/ are true?

a)
Tile composition of the original liquid was xA = 0.6.
b)
The composition of the original liquid was xA = 0.4.
c)
PA° = 2500/3Torr.
d)
PB° = 500 Torr.

Correct answer is option 'A,C,D'. Can you explain this answer?

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Given information:
- Two liquids A and B form an ideal solution.
- The solution has a vapor pressure of 700 Torr at 80°C.
- 2/3 of the solution is collected as condensate.
- The composition of the condensate is xA = 0.75.
- The composition of the residue is xA = 0.30.
- The vapor pressure of the residue at 80°C is 600 Torr.

To solve this problem, we need to use Raoult's law, which states that the vapor pressure of a component in an ideal solution is directly proportional to its mole fraction in the solution.

Let's analyze the given options one by one:

a) The composition of the original liquid was xA = 0.6.

To verify this option, we need to calculate the vapor pressure of component A using Raoult's law. Since the vapor pressure of the solution is given as 700 Torr and the composition of the condensate is xA = 0.75, we can use the formula:

PA = xA * Ptotal

PA = 0.75 * 700 = 525 Torr

So, the vapor pressure of component A in the original liquid is 525 Torr, which is not equal to 600 Torr. Therefore, option a) is incorrect.

b) The composition of the original liquid was xA = 0.4.

To verify this option, we can use a similar approach as in option a). Using the formula for calculating the vapor pressure of component A:

PA = xA * Ptotal

PA = 0.4 * 700 = 280 Torr

Again, the calculated vapor pressure of component A is not equal to 600 Torr. Therefore, option b) is also incorrect.

c) PA = 2500/3 Torr.

To check this option, we can use the formula for calculating the vapor pressure of component A:

PA = xA * Ptotal

PA = 0.30 * 700 = 210 Torr

The calculated vapor pressure of component A is not equal to 600 Torr. Therefore, option c) is incorrect.

d) PB = 500 Torr.

To verify this option, we can calculate the mole fraction of component B in the original liquid using the given composition of the condensate and residue.

Mole fraction of component A in condensate = xA = 0.75
Mole fraction of component B in condensate = xB = 1 - xA = 1 - 0.75 = 0.25

Mole fraction of component A in residue = xA = 0.30
Mole fraction of component B in residue = xB = 1 - xA = 1 - 0.30 = 0.70

Since the solution is ideal, the mole fractions of A and B should be the same in the condensate and residue. Therefore, the mole fraction of component B in the original liquid is:

xB = (xB in condensate + xB in residue) / 2
= (0.25 + 0.70) / 2
= 0.95 / 2
= 0.475

Now, we can calculate the vapor pressure of component B using Raoult's law:

PB

Answered by Infinity Academy · View profile

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Two liquids Aand B form an ideal solution. The solution has a vapor pressure of 700 Torr at 80C. It is distilled till 2/3 of the solution is collected as condensate. The composition of the condensate is xA= 0.75 and that of the residue is xA= 0.30. If the vapor pressure of the residue at 80C is 600 Tom, which of the following is/ are true?a)Tile composition of the original liquid was xA = 0.6.b)The composition of the original liquid was xA = 0.4.c)PA = 2500/3Torr.d)PB = 500 Torr.Correct answer is option 'A,C,D'. Can you explain this answer?

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