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Question

Heptane and octane form an ideal solution. At 373 K, the vapour pressures of the two liquid components are 105.2 kPa and 46.8 kPa respectively. What will be the vapour pressure of a mixture of 26.0 g of heptane and 35 g of octane?

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Solution

The molar masses of heptane and octane are 100 g/mol and 114 g/mol respectively.

26 g of heptane corresponds to 26100=0.26 moles

35 g of octane corresponds to 35114=0.31 moles

Mole fraction of heptane χ=0.260.26+0.31=0.456

Mole fraction of octane χ=10.456=0.544

Partial pressure of heptane p=0.456×105.2=47.97 kPa

Partial pressure of octane p=0.544×46.8=25.46 kPa

Vapour pressure of solution P=p+p=47.97+25.46=73.43 kPa

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