Single Choice

$$8$$g of $$NaOH$$ is dissolved in $$18$$g of $$H_2O$$. Mole fraction of $$NaOH$$ in solution and molality (in mol $$kg^{-1}$$) of the solutions respectively are:

A$$0.167, 11.11$$
Correct Answer
B$$0.2, 22.20$$
C$$0.2, 11.11$$
D$$0.167, 22.20$$

Solution

$$8$$g $$NaOH$$, mol of $$NaOH$$ $$=\dfrac{8}{40}=0.2$$mol

$$18$$g of $$H_2O$$, mol of $$H_2O=\dfrac{18}{18}=1$$ mol

$$\therefore X_{NaOH}=\dfrac{0.2}{1.2}=0.167$$

Molality $$=\dfrac{0.2\times 1000}{18}=11.11$$m.

Hence, the correct option is $$A$$


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