JEE MAIN - Chemistry (2023 - 30th January Evening Shift - No. 22)
Lead storage battery contains $38 \%$ by weight solution of $\mathrm{H}_{2} \mathrm{SO}_{4}$. The van't Hoff factor is $2.67$ at this concentration. The temperature in Kelvin at which the solution in the battery will freeze is ________. (Nearest integer).
Given $\mathrm{K}_{f}=1.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$
Given $\mathrm{K}_{f}=1.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$
Answer
243
Explanation
$$\mathrm{\Delta T_f=K_f~i~m}$$
$$ = 1.8 \times 2.67 \times {{{{38} \over {98}}} \over {0.062}} = 30$$
$$\therefore$$ It freeze at $$273-30=243$$ $$\mathrm{K}$$
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