Answer to Question #98407 in Physical Chemistry for cindy

Question #98407
The vapor pressure of liquid lead is 400. mm Hg at 1900 K. Assuming that its molar heat of vaporization is constant at 179 kJ/mol, the vapor pressure of liquid Pb is
mm Hg at a temperature of 1860 K.
1
Expert's answer
2019-11-11T08:29:00-0500

Solution.

ΔH(vap.)=R×T1×T2×ln(p2p1)T2T1\Delta H(vap.) = \frac{R \times T1 \times T2 \times ln(\frac{p2}{p1})}{T2-T1}

p2=p1×exp(ΔH(vap.)×(T2T1)R×T1×T2p2 = p1 \times \exp(\frac{\Delta H(vap.) \times (T2-T1)}{R \times T1 \times T2}

p2=400×exp(149103×(18601900)8.31×1900×1860p2 = 400 \times \exp(\frac{149*10^3 \times (1860-1900)}{8.31 \times 1900 \times 1860}

p2 = 313.46 mm Hg

Answer:

p2 = 313.46 mm Hg


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