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Question -

Heptane and octane form an idealsolution. At 373 K, the vapour pressures of the two liquid components are 105.2kPa and 46.8 kPa respectively. What will be the vapour pressure of a mixture of26.0 g of heptane and 35 g of octane?



Answer -

Vapour pressure of heptane

Vapour pressure of octane= 46.8 kPa

We know that,

Molar mass of heptane (C7H16)= 7 × 12 + 16 × 1

= 100 g mol−1

Number of moles ofheptane 
= 0.26 mol

Molar mass of octane (C8H18)= 8 × 12 + 18 × 1

= 114 g mol−1

Number of moles of octane

= 0.31 mol

Molefraction of heptane,

= 0.456

And, mole fraction ofoctane, x2 = 1 − 0.456

= 0.544

Now,partial pressure of heptane, 

= 0.456 × 105.2

= 47.97 kPa

Partialpressure of octane,  

= 0.544 × 46.8

= 25.46 kPa

Hence, vapour pressure ofsolution, ptotal p1 + p2

= 47.97 + 25.46

= 73.43 kPa

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