Verified Solution • 2025–26 Session moderate

QJEEM17Ch3a8f: JEE Main 2017 Chemistry - Class 12 JEEM17Ch3a8f Solution: A solution is prepared by mixing 8.5 g of CH 2 Cl 2 and 11.95 g …

A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2 and CHCl3 at 298 K are 415 and 200 mmHg respectively, the mole fraction of CHCl3 in vapour form is : (Molar mass of Cl = 35.5 g mol−1)

Multiple Choice Options

  • A 0.162
  • B 0.675
  • C 0.325
  • D 0.486

Step-by-Step Verified Solution

Mole fractions can be calculated as

nCH2Cl2=8.58.5=0.1{n_{C{H_2}C{l_2}}} = {{8.5} \over {8.5}} = 0.1 and nCHCl3=11.9119.5=0.1{n_{CHC{l_3}}} = {{11.9} \over {119.5}} = 0.1

We know that

ptotal=pCH2Cl2o× xCH2Cl2+pCHCl3o× xCHCl3{p_{total}} = p_{C{H_2}C{l_2}}^o \times \,{x_{C{H_2}C{l_2}}} + p_{CHC{l_3}}^o \times \,{x_{CHC{l_3}}}

=415×0.10+200×0.1=61.5= 415 \times 0.10 + 200 \times 0.1 = 61.5

Mole fraction of CHCl3 in vapour form can be calculated as

ptotal=pCHCl3o× xCHCl3{p_{total}} = p_{CHC{l_3}}^o \times \,{x_{CHC{l_3}}}

61.5=200× xCHCl361.5 = 200 \times \,{x_{CHC{l_3}}}

xCHCl3=61.5200=0.3075{x_{CHC{l_3}}} = {{61.5} \over {200}} = 0.3075

Related Learning Resources & Exam Preparation