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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

The vapour pressures of pure liquids A and B are 450 and 700 mm Hg respectively, at 350 K. Find out the composition of the liquid mixture if the total vapour pressure is 600 mm Hg. Also, find the

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प्रश्न

The vapour pressures of pure liquids A and B are 450 and 700 mm Hg respectively, at 350 K. Find out the composition of the liquid mixture if the total vapour pressure is 600 mm Hg. Also, find the composition of the vapour phase.

संख्यात्मक
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उत्तर

Given: `P_A^0` = 450 mm Hg

`P_B^0` = 700 mm Hg

PTotal = 600 mm Hg

xA = ?

Applying Raoult’s law,

PA = `x_A xx P_A^0`

PB = `x_B xx P_B^0`

= `(1 - x_A)P_B^0`

PTotal = `P_A + P_B`

= `x_A xx P_A^0 + (1 - x_A)P_B^0`

= `P_B^0 + (P_A^0 - P_B^0)x_A`

Substituting the given values, we get

600 = 700 + (450 − 700)xA or 250x= 100

or xA = `100/250` = 0.40

Thus, the composition of the liquid mixture will be

xA (mole fraction of A) = 0.40

xB (mole fraction of B) = 1 − 0.40 = 0.60

Calculation of composition in the vapour phase:

PA = `x_A xx P_A^0`

= 0.40 × 450 mm Hg

= 180 mm Hg

PB = `x_B xx P_B^0`

= 0.60 × 700 mm Hg

= 420 mm Hg

Mole fraction of A in the vapour phase = `(P_A)/(P_A + P_B)`

= ` 180/(180+420)`

= `180/600`

= 0.30

Mole fraction of B in the vapour phase = 1 − 0.30 = 0.70

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अध्याय 1: Solutions - Intext Questions [पृष्ठ १५]

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एनसीईआरटी Chemistry Part 1 and 2 [English] Class 12
अध्याय 1 Solutions
Intext Questions | Q 1.8 | पृष्ठ १५

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