If equilibrium constant is 2 at 300 K then the standard free energy change at 300 K and 1 atm pressure is

To find the standard free energy change at 300 K and 1 atm pressure, we can use the relationship between the equilibrium constant (K) and the standard free energy change (ΔG°). The equation is:

ΔG° = -RT ln(K)

Where: ΔG° is the standard free energy change R is the gas constant (8.314 J/mol·K) T is the temperature in Kelvin (300 K) ln is the natural logarithm

Given that the equilibrium constant (K) is 2 at 300 K, we can substitute this value into the equation:

ΔG° = - (8.314 J/mol·K) * 300 K * ln(2)

Now we can calculate the standard free energy change using a calculator or software:

ΔG° ≈ - (8.314 J/mol·K) * 300 K * 0.6931

ΔG° ≈ - 1559.6 J/mol

Therefore, the standard free energy change at 300 K and 1 atm pressure is approximately -1559.6 J/mol.