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NEET CHEMISTRYMedium

The correct option for the value of vapour pressure of a solution at 45C45^{\circ}\text{C} with benzene to octane in molar ratio 3:23:2 is: [At 45C45^{\circ}\text{C} vapour pressure of benzene is 280 mm Hg280 \text{ mm Hg} and that of octane is 420 mm Hg420 \text{ mm Hg}. Assume Ideal gas]

A

160 mm of Hg160 \text{ mm of Hg}

B

168 mm of Hg168 \text{ mm of Hg}

C

336 mm of Hg336 \text{ mm of Hg}

D

350 mm of Hg350 \text{ mm of Hg}

Step-by-Step Solution

Given nC6H6:nC8H18=3:2n_{\text{C}_6\text{H}_6} : n_{\text{C}_8\text{H}_{18}} = 3:2. Mole fractions: xC6H6=3/5x_{\text{C}_6\text{H}_6} = 3/5, xC8H18=2/5x_{\text{C}_8\text{H}_{18}} = 2/5. Total pressure Ps=PAxA+PBxB=280×(3/5)+420×(2/5)=168+168=336 mm HgP_s = P^{\circ}_A x_A + P^{\circ}_B x_B = 280 \times (3/5) + 420 \times (2/5) = 168 + 168 = 336 \text{ mm Hg}.

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