MHT CET · Chemistry · Solutions
Calculate van't Hoff factor (i) of 0.2 m aqueous solution of an electrolyte if it freezes at \(-0.660 \mathrm{~K} .\left(\mathrm{K}_{\mathrm{f}}=1.84 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)\)
- A 1.97
- B 1.79
- C 0.242
- D 0.557
Answer & Solution
Correct Answer
(B) 1.79
Step-by-step Solution
Detailed explanation
\(\Delta \mathrm{T}_{\mathrm{f}} =\mathrm{imK}_{\mathrm{f}} \)
\( \therefore 0.66 =\mathrm{i} \times 0.2 \times 1.84 \)
\( \therefore \mathrm{i} =\frac{0.66 \mathrm{~K}}{0.2 \mathrm{~mol} \mathrm{~kg}^{-1} \times 1.84 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}} \)
\( =1.793 \approx 1.79\)
\( \therefore 0.66 =\mathrm{i} \times 0.2 \times 1.84 \)
\( \therefore \mathrm{i} =\frac{0.66 \mathrm{~K}}{0.2 \mathrm{~mol} \mathrm{~kg}^{-1} \times 1.84 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}} \)
\( =1.793 \approx 1.79\)
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