KVPY 2020-21 SB SX Exam Previous Papers

Question : 52 of 120

Marks: +1, -0

A mixture of toluene and benzene forms a nearly ideal solution. Assume

{P}_{{B}}°

and

{P}_{{T}}°

to be the vapor pressures of pure benzene and toluene, respectively. The slope of the line obtained by plotting the total vapor pressure to the mole fraction of benzene is :-

${P}_{{B}}°-{P}_{{T}}°$
${P}_{{T}}°-{P}_{{B}}°$
${P}_{{B}}°+{P}_{{T}}°$
$({{P}_{{B}}°-{P}_{{T}}°})\/2$

Validate

Solution:

P_{\text "total "}=\χ_{B}(P_{B}^{0})+\χ_{T}(P_{T}^{0})

=\χ_{B}(P_{B}^{0})+(1-\χ_{B})(P_{T}^{0})

Comparing it with

{y}={mx}+{c}

{P_{\text"total "}}/{y}={\χ_{B}}/{x} {(P_{B}^{0}-P_{T}^{0})}↙{m}{m}+{P_{T}^{0}} ↙{c}

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