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For the reaction H2(g) + I2(g) ⇔ 2HI (g), the standard free energy is ΔG⊖ > 0. The equilibrium constant (K ) would be

Question

For the reaction H2(g)+I2(g)2HI(g) H_2(g) + I_2(g) ⇔ 2HI(g) , the standard free energy is ΔG>0 ΔG^⊖ > 0 . The equilibrium constant (K) would be

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Solution

The relationship between the standard free energy change (ΔG⊖) and the equilibrium constant (K) is given by the equation:

ΔG⊖ = -RT ln K

where R is the gas constant and T is the temperature in Kelvin.

If ΔG⊖ > 0, this means that the reaction is not spontaneous in the forward direction under standard conditions.

The natural logarithm (ln) of a number between 0 and 1 is negative. Therefore, if ΔG⊖ > 0, then ln K must be negative.

This implies that K must be less than 1.

So, for the reaction H2(g) + I2(g) ⇔ 2HI (g), if the standard free energy is ΔG⊖ > 0, the equilibrium constant (K) would be less than 1.

This problem has been solved

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