Example 2.6:  The heat capacities for mercury are given as follows:

 

 

T/°C

 

CP/(cal·g-1·°K-1)

 

CV/(cal·g-1·°K-1)

 

-20

 

0.0335

 

0.0294

 

100

 

0.0327

 

0.0276

 

If one gram of mercury is heated at constant pressure of 1 atm from -20 °C to 100 °C, compute the change in internal energy, enthalpy, entropy and volume.

 

Solution: T1 = 253.15 °K, T2 = 373.15 °K

With two data points, an average value of CP and CV can be found to be

$                 Internal energy change, ΔU (Equation 2.22):

$                 Enthalpy change, ΔH (Equation 2.24):

$                 Entropy change, ΔS (Equation 2.25):

$                 Volume change, ΔV (Equation 2.23):

(Pressure, P = 1 atm = 14.696 lbf/in2 = 2116.22 lbf/ft2)