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Question: > What is the quantity of water that should be added to 16 g. methanol to make the mole fraction of ...

What is the quantity of water that should be added to 16 g. methanol to make the mole fraction of methanol as 0.25 :

A

27 g.

B

12 g.

C

18 g.

D

36 g.

Answer

27 g.

Explanation

Solution

(1)

Let wg water in added to 16 g CH3OH

molality =16×1000W×32=500W= \frac{16 \times 1000}{W \times 32} = \frac{500}{W}

500W=xA×1000(1xA)mB=0.25×10000.75×18W=27gm\frac{500}{W} = \frac{x_{A} \times 1000}{\left( 1 - x_{A} \right)m_{B}} = \frac{0.25 \times 1000}{0.75 \times 18}W = 27gm.