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← JEE Main 2017 · 9 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 40 of 90

JEE Main 2017 · 9 Apr · Shift 1, Chemistry question 40

A solution is prepared by mixing 8.5 g of CHX2ClX2\ce{CH2Cl2} and 11.95 g of CHClX3\ce{CHCl3}. If vapour pressure of CHX2ClX2\ce{CH2Cl2} and CHClX3\ce{CHCl3} at 298 K are 415 and 200 mmHg respectively, the mole fraction of CHClX3\ce{CHCl3} in vapour form is :

(Molar mass of Cl = 35.5 g mol−1^{-1})

Choose one option
Answer and worked solution

Official answer: C

CHX2ClX2\ce{CH2Cl2}: 8.585=0.1\frac{8.5}{85}=0.1 mol; CHClX3\ce{CHCl3}: 11.95119.5=0.1\frac{11.95}{119.5}=0.1 mol. Each has mole fraction 0.5 in the liquid, so p=207.5+100=307.5p=207.5+100=307.5 mmHg and
yCHClX3=100307.5=0.325.y_{\ce{CHCl3}}=\frac{100}{307.5}=0.325.