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The study of chemical systems using the laws and concepts of physics. This usually requires the techniques of thermodynamics, statistical mechanics and quantum mechanics.
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What is the mass of (NH4)2CO3 need to add to 250 g water in order to lower the freezing poin...
The van 't Hoff factor $i$ of $\ce{(NH4)2CO3}$ is $3$ in water. So $\Delta T_\mathrm f = ik_\mathrm fm$ can be used.
$$\Delta T_f = 3 \cdot 1.86 \cdot \frac{w}{0.25 \cdot M_{\ce{(NH4)2CO3}}} = \frac …