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Question: Answered & Verified by Expert
Benzene and toluene form nearly ideal solutions. At $20^{\circ} \mathrm{C}$, the vapour pressure of benzene is 75 torr and that of toluene is 22 torr. The parial vapour pressure of benzene at $20^{\circ} \mathrm{C}$ for a solution containing $78 \mathrm{~g}$ of benzene and $46 \mathrm{~g}$ of toluene in torr is
ChemistrySolutionsJEE Main
Options:
  • A 50
  • B 25
  • C 37.5
  • D 53.5
Solution:
2786 Upvotes Verified Answer
The correct answer is: 50
Amount of benzene, \(n_1=\frac{m_1}{M_1}=\frac{78 \mathrm{~g}}{78 \mathrm{gmol}^{-1}}=1 \mathrm{~mol}\)
Amount of toluene, \(n_2=\frac{m_2}{M_2}=\frac{46 \mathrm{~g}}{92 \mathrm{gmol}^{-1}}=0.5 \mathrm{~mol}\)
Amount fraction of benzene, \(x_1=\frac{n_1}{n_1+n_2}=\frac{1}{1.5}\)
Partial pressure of benzene, \(p_1=x_1 p_1^*=\frac{1}{1.5}(75\) Torr \()=50\) Torr

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