Methanol and ethanol from nearly an ideal solution. If the vapour pressure of pure methanol and ethanol at `350 K are 8.1xx10^(4)and 4.5xx10^(4)Nm^(-2)` respeclate the total vapour pressure of the solution and the mole fraction of methanol in the vapour phase if the solution contains 64 g of methanol and 46 g of ethanol at this temperature.

Methanol and ethanol from nearly an ideal solution. If the vapour pres

1.	Methanol and ethanol from nearly an ideal solution. If the vapour pressure of pure methanol and ethanol at `350 K are 8.1xx10^(4)and 4.5xx10^(4)Nm^(-2)` respeclate the total vapour pressure of the solution and the mole fraction of methanol in the vapour phase if the solution contains 64 g of methanol and 46 g of ethanol at this temperature.
Answer» Moles of etanol `(n_(B)`=`(Mass of ethanol)/(Molar mass of ethanol(C_(2)H_(5)OH))=((46g))/((46gmol^(-1)))=1 mol` Moles of methanol `(n_(2))`=`(Mass of methanol)/(Molar mass of methanol(CH_(3)OH))=1/3` Mole fraction of methanol `(x_(B))`=`n_(A)/(b_(A)+n_(B))=((2 mol))/((1 moil+ 2mol))=2/3` Mole fractin of methanol (x_(A))= `n_(A)/(n_(A)+n_(B))=((2 mol))/((1 mol + 2mol))=2/3` `"Vapour pressure of ethanol in mixtue "(P_(B))=P_(B)^(@)xx x_(B)=(4.5xx10^(4)Nm^(-2))xx1/3` =`1.5xx10^(4) Nm^(-2)` `"Vapour pressure of methanol in mixture "((P_(A))=P_(A)^(@)xx x_(A))=(8.1xx10^(4) Nm^(-2))xx 2/3` =`5.4xx10^(4) Nm^(-2)` `"Total vepour pressure of mixture"=(1.5xx10^(4)+5.4xx10^(4))=6.9xx10^(4)Nm^(-2)` `"Mole fraction of methanol in the vepour phase" (x_(CH_(3)OH))=P_(A)/(P_(A)+P_(B))=((5.4xx10^(4)Nm^(-2)))/((6.9xx10^(4)Nm^(-2)))` =0.7826

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