The vapor pressure of benzene at T=25 °C is 0.125 bar. The Appendix of your book contains enough additional data on benzene to estimate other vapor pressures by the Antoine, shortcut, or Clausius-Clapeyron approaches.
The molar volume of liquid benzene at room temperature and pressure (T=25 °C, P=1 bar) is V = 88.9 cm3/mol. Liquid benzene also has a coefficient of thermal expansion of
? =1.237 x 10-3 K-1and isothermal compressibility of ? = 8.9 x 10-5bar-1
A) Give your best estimate of the vapor pressure of benzene at T=50 °C, and explain why you chose the method that you chose.
B) Give your best estimate of the vapor pressure of benzene at T=100 °C, and explain why you chose the method that you chose.
C) Give your best estimate of the fugacity of liquid benzene at T=25 °C and P=20 bar, and state any assumptions that you make.
D) (10 points) Benzene expands as it’s heated. Estimate the molar volume of liquid benzene at a temperature of 50 °C and a pressure of P=1 bar.
A)
Apply Antoine equation since it is a good model for vapor pressure when 20°C
?log?_10 P^sat=A-B/(T+C)
Where T is the temperature expressed in Celsius, and P^sat is expressed in mmHg.
From Appendix E: A=6.90565, B=1211.033, C=220.790
?log?_10 P^sat=6.90565-1211.033/(50+220.790)
P^sat=271.3 mmHg
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