The water gas shift reaction used commercially to produce H2(g): CO (g)+ H2O (g) --> CO2 (g) + H2(g).
DeltaH=-41.2 kJ/mol
Delta S= -42.1 J/mol*K
Delta G= -28.6 kJ\mol
Determine Kp at 850 K
To determine Kp at 850 K, we need to use the equation:
Delta G = -RT ln(Kp)
Where:
- Delta G is the standard Gibbs free energy change (-28.6 kJ/mol in this case),
- R is the gas constant (8.314 J/mol*K),
- T is the temperature in Kelvin (850 K), and
- Kp is the equilibrium constant.
First, we need to convert the units of Delta G from kJ/mol to J/mol by multiplying by 1000:
Delta G = -28.6 kJ/mol * (1000 J/1 kJ) = -28,600 J/mol
Now, we can rearrange the equation to solve for Kp:
Kp = e^(-Delta G / (RT))
Plugging in the values:
Kp = e^(-(-28,600 J/mol) / (8.314 J/mol*K * 850 K))
Simplifying further:
Kp = e^(34.321 / (8.314 * 850))
Finally, we can calculate Kp using a calculator or computer software that can handle mathematical functions like exponential (e^x):
Kp = e^(34.321 / (8.314 * 850))
The answer will be the value of Kp at 850 K.