The volume of Hg in the temperature range 0°C to 100°C at 1 atm is given by V = V0(l + at + bt2), where a = 0.18182 × 10–3 °C–1 b = 0.78 × 10–80C–2, and where V0 is the volume at 0°C and t is the Celsius temperature. The density of mercury at 1 atm and 0°C is 13.595 g/cm3. (a) Use the result of Prob. 4.17 to calculate (∂CP,m/∂P)T for Hg at 25°C and 1 atm. (b) Given that CP,m = 6.66 cal mol–1 K–1 for Hg at 1 atm and 25°C, estimate CP, m of Hg at 25°C and 104 atm.
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