A "canned heat" product used to warm chafing dishes consists of a homogeneous mixture of ethanol, C2H5OH, and paraffin that has an average formula C24H50. The vapor pressure of pure ethanol at 35°C is 100 torr.
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If we suppose that mixture is an ideal solution, Raoult's Law can be applied :
pi = pi* . xi
With
pi : the partial pressure of component i
pi* : the vapor pressure of component i
xi : the mole fraction of component i in solution
Molecular weights :
C2H5OH : 46 g/mol
C24H50 : 338 g/mol
p(EtOH) = p(EtOH)* . x(EtOH)
8 = 100 . x(EtOH)
x(EtOH) = 0.08
Nb of moles of (C24H50) : n(C24H50) = 658 / 338 = 1.95 mol
x(EtOH) = n(EtOH) / [ n(EtOH) + n(C24H50) ]
0.08 = n(EtOH) / [ n(EtOH) + 1.95 ]
n(EtOH) = (0.08*1.95) / (1 – 0.08) = 0.17 mol
m(EtOH) = 0.17*46 = 7.82 g