At T K xg of a non-volatile solid (molar mass 78 g mol - 1 ) when added to 0 . 5 kg water, lowered its…
At of a non-volatile solid (molar mass ) when added to water, lowered its freezing point by . What is (in ) ( of water at )
Solution
\(\begin{aligned}
&\begin{aligned}
\Delta T_f & =k_f{}^* \text { molality } \\
\text {Weight } & =x g \\
\text {Mwt } & =78 \text { g } \\
\text {Molality } & =\text { moles present in 1kg solvent } \\
& =(x / 78) / 0.5 \\
& =\frac{x}{39}
\end{aligned}\\
&\begin{aligned}
\Delta T_f & =k_f{ }^* \text { molality } \\
1 & =1.86 \times \frac{x}{39} \\
x & =\frac{39}{1.86} \\
x & =20.96 \mathrm{~g} .
\end{aligned}
\end{aligned}\)
*
Asked in: JEE-TOPICTESTS-CHEMISTRY
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