Use 3.6×10⁴ for vapor pressure contribution of benzene And then use 1.12×10⁴ for vapor pressure contribution of methylbenzene

Physics

ScanSolve AI Answer

Step-by-step solution

2 steps

Okay, let's use the provided vapor pressure values for pure benzene and pure methylbenzene.

Given:

  • Vapor pressure of pure benzene (Pbenzene∘P_{\text{benzene}}^\circ) =3.6×104= 3.6 \times 10^4
  • Vapor pressure of pure methylbenzene (Pmethylbenzene∘P_{\text{methylbenzene}}^\circ) =1.12×104= 1.12 \times 10^4
  1. Calculate the vapor pressure contribution of benzene (PbenzeneP_{\text{benzene}}) using Raoult's Law

    Pbenzene=XbenzenePbenzene∘P_{\text{benzene}} = X_{\text{benzene}} P_{\text{benzene}}^\circ
  2. Calculate the vapor pressure contribution of methylbenzene (PmethylbenzeneP_{\text{methylbenzene}}) using Raoult's Law

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

    Remember that Xmethylbenzene=1−XbenzeneX_{\text{methylbenzene}} = 1 - X_{\text{benzene}}.

    Here are the updated calculations:

    XbenzeneX_{\text{benzene}}XmethylbenzeneX_{\text{methylbenzene}}Pbenzene=Xbenzene×(3.6×104)P_{\text{benzene}} = X_{\text{benzene}} \times (3.6 \times 10^4)Pmethylbenzene=Xmethylbenzene×(1.12×104)P_{\text{methylbenzene}} = X_{\text{methylbenzene}} \times (1.12 \times 10^4)
    010×3.6×104=00 \times 3.6 \times 10^4 = 01×1.12×104=1.12×1041 \times 1.12 \times 10^4 = 1.12 \times 10^4
    0.250.750.25×3.6×104=0.9×1040.25 \times 3.6 \times 10^4 = 0.9 \times 10^40.75×1.12×104=0.84×1040.75 \times 1.12 \times 10^4 = 0.84 \times 10^4
    0.50.50.5×3.6×104=1.8×1040.5 \times 3.6 \times 10^4 = 1.8 \times 10^40.5×1.12×104=0.56×1040.5 \times 1.12 \times 10^4 = 0.56 \times 10^4
    0.750.250.75×3.6×104=2.7×1040.75 \times 3.6 \times 10^4 = 2.7 \times 10^40.25×1.12×104=0.28×1040.25 \times 1.12 \times 10^4 = 0.28 \times 10^4
    101×3.6×104=3.6×1041 \times 3.6 \times 10^4 = 3.6 \times 10^40×1.12×104=00 \times 1.12 \times 10^4 = 0

    The respective vapor pressure contributions for benzene are:
    0, 0.9×104, 1.8×104, 2.7×104, 3.6×104\boxed{\text{0, } 0.9 \times 10^4\text{, } 1.8 \times 10^4\text{, } 2.7 \times 10^4\text{, } 3.6 \times 10^4}

    The respective vapor pressure contributions for methylbenzene are:
    1.12×104, 0.84×104, 0.56×104, 0.28×104, 0\boxed{1.12 \times 10^4\text{, } 0.84 \times 10^4\text{, } 0.56 \times 10^4\text{, } 0.28 \times 10^4\text{, } 0}

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp