Question

use the free energies of formation given below to calculate the equilibrium constant (k) for the following reaction at 298 k.

Answer 1

To calculate the equilibrium constant (K) for a reaction at a given temperature, use the standard free energy change (ΔG°) of the reaction. The equation to calculate K is K = e^(-ΔG°/RT), where R is the gas constant and T is the temperature in kelvin.

Step-by-step explanation:

To calculate the equilibrium constant (K) for a reaction at a given temperature, you need to use the standard free energy change (ΔG°) of the reaction. The equation to calculate K is K = e-ΔG°/RT, where R is the gas constant (8.314 J/mol K) and T is the temperature in kelvin. Let's take the example of reaction (a) where K = 1.07 x 10-13 and ΔG° = 55.7 x 103 J/mol:

1. Convert ΔG° to kilojoules: ΔG° = 55.7 x 103 J/mol = 55.7 kJ/mol
2. Convert temperature to kelvin: 298 K
3. Plug the values into the equation: K = e-ΔG°/RT = e-(55.7 x 103)/(8.314 x 298)
4. Calculate the value of K using a scientific calculator or mathematical software