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Question

Chemistry Question on Solutions

An ideal solution was obtained by mixing methanoland ethanol. If the partial vapour pressure of methanol and ethanol are 2.619 k Pa and 4.556 k the composition of vapour(in terms of mole fraction) will be

A

0.635 MeOH, 0.365 EtOH

B

0.365 MeOH, 0.635 EtOH

C

0.574 MeOH, 0.326 EtOH

D

0.173 MeOH, 0.827 EtOH

Answer

0.365 MeOH, 0.635 EtOH

Explanation

Solution

Partial pressure of methanol =2.619kP=2.619\, kP a Partial pressure of ethanol =4.556kPa=4.556 \,kPa Total pressure = Partial pressure of methanol ++ Partial pressure of ethanol Total pressure =2.619+4.556=7.175kPa=2.619+4.556=7.175\, kP a Xmethanol: X_{\text {methanol: }} Mole fraction of methanol Xethanol: X_{\text {ethanol: }} Mole fraction of ethanol The partial pressure of methanol =Xmethanol ×=X_{\text {methanol }} \times Total pressure Xmethanol =2.6197.175\therefore X _{\text {methanol }}=\frac{2.619}{7.175} =0.365=0.365 \therefore Mole fraction of ethanol= 11- Mole fraction of methanol =10.365=1-0.365 =0.635=0.635