CUET · CHEMISTRY · PYQ PAPER 2024
Vapour pressures of pure liquids A and D at \(50^{\circ} C\) are 500 mmHg and 800 mmHg respectively.
The binary solution of A and D boils at \(50^{\circ} C\) and 700 mmHg pressure.
The mole percentage of \(D\) in the solution is:
- A 33.33 mole percent
- B 66.67 mole percent
- C 25.75 mole percent
- D 75.25 mole percent
Answer & Solution
Correct Answer
(B) 66.67 mole percent
Step-by-step Solution
Detailed explanation
\(P_{total} = P_A^0 (1 - x_D) + P_D^0 x_D\) \(700 = 500(1 - x_D) + 800 x_D\) \(700 = 500 + 300 x_D\) \(300 x_D = 200\) \(x_D = \frac{200}{300} = 0.6667\) \(\text{Mole percentage of D} = 0.6667 \times 100\% = 66.67\%\)
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