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Carbon disulfide, CS2\mathrm{CS}_2, is a volatile, flammable liquid. It has a vapor pressure of 400.0mmHg400.0 \mathrm{mmHg} at 28.0C28.0^{\circ} \mathrm{C} and 760.0mmHg760.0 \mathrm{mmHg} at 46.5C46.5^{\circ} \mathrm{C}. What is the heat of vaporization of this substance?

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The vapor pressure of a substance depends on temperature. We can calculate values of the vapor pressure at different temperatures by using the Clausius-Clapeyron equation which relates the vapor pressure, the temperature, and the heat of vaporization of a substance.

lnP2P1=ΔHvapR(1T11T2)\text{ln}\dfrac{P_{2}}{P_{1}}=\dfrac{\Delta{H}_{vap}}{R}(\dfrac{1}{T_{1}}-\dfrac{1}{T_{2}})

Where P1\textit{P}_{1} and P2\textit{P}_{2} are the values of the vapor pressure at absolute temperatures T1\textit{T}_{1} and T2\textit{T}_{2}.

ΔHvap\Delta{H}_{vap} is the heat of vaporization, and R\textit{R} is the molar gas constant which equals 8.314 J/ K\cdotmol.

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