JEE Main & Advanced JEE Main Online Paper (Held On 23 April 2013)

  • question_answer
                    Vapour pressure of pure benzene is 119 torr and that of toluene is 37.0 torr at the same temperature. Mole fraction of toluene in vapour phase which is equilibrium with a solution of benzene and toluene having a mole fraction of toluene 0.50 will be:     JEE Main Online Paper ( Held On 23  April 2013 )

    A)                   0.137                  

    B)                                          0.237

    C)                                          0.435                  

    D)                                          0.205

    Correct Answer: B

    Solution :

                      \[{{P}_{A}}=P_{A}^{o}\times {{x}_{A}}=\]total pressure \[\times {{y}_{A}}\] \[{{P}_{B}}=P_{B}^{o}\times {{x}_{B}}=\]total pressure\[\times {{y}_{B}}\]where x and y represents mole fraction in liquid and vapour phase respectively. \[\frac{P_{B}^{o}{{x}_{B}}}{P_{A}^{o}{{x}_{A}}}=\frac{{{y}_{B}}}{{{y}_{A}}};\frac{P_{B}^{o}(1-{{x}_{A}})}{P_{A}^{o}{{x}_{A}}}=\frac{1-{{y}_{A}}}{{{y}_{A}}}\] on putting values\[\frac{119(1-0.50)}{37\times 0.50}=\frac{1-{{y}_{A}}}{{{y}_{A}}}\]on solving \[{{y}_{A}}=0.237\]


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