The molar volume of liquid benzene (density = 0.877 g ml-1) increases by a factor of 2750 as it vaporises at 20ºC and that of liquid toluene (density 0.867 g m-1) increases by a factor of 7720 at 20ºC. A solution of benzene and toluene at 20ºC has a vapour pressure of 46.0 torr. Find the mole fraction of benzene in the vapour above the solution
Text Solution
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Volume of 1 mol of liquid benzene 
Volume of 1 mol of benzene vapour 
Assuming the vapour to behave like an ideal gas,
PoBenzene 
RTV(For 1 mol )
PoBenzene 
Volume of 1 mol of liquid toluene 
Volume of 1 mol of toluene vapour 
Assuming the vapour to behave like an ideal gas,
PoToluene 
PBenzene 
XBenzene 
PoBenzene 
PToluene 
Toluene 
PToluene 
XBenzene 
XToluene 
XBenzene 
Ptotal 
PBenzene + PToluene
46 torr 
XBenzene 
XBenzene +0.029
XBenzene +0.029
XBenzene 
Thus, mole fraction of benzene in vapeur phase
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