Calculate the respective vapour pressure contribution for methylbenzene at this concentration

Physics

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Here are the calculations for the vapor pressure contribution of methylbenzene.

Assumption: The vapor pressure of pure methylbenzene (Pmethylbenzene∘P_{\text{methylbenzene}}^\circ) is not provided. Therefore, the vapor pressure contributions of methylbenzene will be expressed in terms of Pmethylbenzene∘P_{\text{methylbenzene}}^\circ.

  1. Use the mole fractions of methylbenzene (XmethylbenzeneX_{\text{methylbenzene}}) calculated previously.

  2. Calculate the vapor pressure contribution of methylbenzene (PmethylbenzeneP_{\text{methylbenzene}}).

    According to Raoult's Law for an ideal solution:

    Pmethylbenzene=XmethylbenzenePmethylbenzene∘P_{\text{methylbenzene}} = X_{\text{methylbenzene}} P_{\text{methylbenzene}}^\circ

    where Pmethylbenzene∘P_{\text{methylbenzene}}^\circ is the vapor pressure of pure methylbenzene.

    Here are the results for the given concentrations:

    XbenzeneX_{\text{benzene}}XmethylbenzeneX_{\text{methylbenzene}}PmethylbenzeneP_{\text{methylbenzene}} (Vapor Pressure Contribution)
    011⋅Pmethylbenzene∘=Pmethylbenzene∘1 \cdot P_{\text{methylbenzene}}^\circ = P_{\text{methylbenzene}}^\circ
    0.250.750.75⋅Pmethylbenzene∘0.75 \cdot P_{\text{methylbenzene}}^\circ
    0.50.50.5⋅Pmethylbenzene∘0.5 \cdot P_{\text{methylbenzene}}^\circ
    0.750.250.25⋅Pmethylbenzene∘0.25 \cdot P_{\text{methylbenzene}}^\circ
    100⋅Pmethylbenzene∘=00 \cdot P_{\text{methylbenzene}}^\circ = 0

    The respective vapor pressure contributions of methylbenzene are Pmethylbenzene∘P_{\text{methylbenzene}}^\circ, 0.75Pmethylbenzene∘0.75 P_{\text{methylbenzene}}^\circ, 0.5Pmethylbenzene∘0.5 P_{\text{methylbenzene}}^\circ, 0.25Pmethylbenzene∘0.25 P_{\text{methylbenzene}}^\circ, 0.

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