Problem #8: A 5.00 L flask contains 3.00 g of mercury. The system is at room temperature of 25.0 °C. By how many degrees should we increase the temperature of the flask to triple the mercury vapor pressure. The enthalpy of vaporization for mercury is 59.11 kJ/mol?
Solution:
1) Let us use the Clausius-Clapeyron Equation:
with the following values:
P1 = 1 T1 = 298 K
P2 = 3 T2 = x
3) Set up equation with values:
ln (3/1) = (59110 / 8.31447) (1/298 minus 1/x)
1.0968 = 7109.2926 (1/298 minus 1/x)
1.0968 = 23.8567 minus 7109.2926/x)
x = 312.4 K = 39.4 °C