What is the value of the equilibrium constant at 425 K for a chemical equilibrium that has a $\Delta$H $\circ$ value of 150 kJ/mol and a $\Delta$S $\circ$ value of 86 J/mol . K?

Question

Quizplus · Accepted Answer

The equilibrium constant (K) can be calculated using the Gibbs free energy change ($\Delta G^\circ$) equation: $\Delta G^\circ = -RT \ln K$, where $R$ is the gas constant (8.314 J/mol·K), $T$ is the temperature in Kelvin, and $\Delta G^\circ$ can be calculated from $\Delta H^\circ - T\Delta S^\circ$. Given $\Delta H^\circ = 150 \times 10^3$ J/mol (or 150 kJ/mol converted to J/mol) and $\Delta S^\circ = 86$ J/mol·K at 425 K, first calculate $\Delta G^\circ$, then solve for $K$. The presence of scientific notation and the specific values given in the options hint at the calculation involving exponential terms, leading to the correct choice being in the form of a power of 10, which matches the format of option B.

What Is the Value of the Equilibrium Constant at 425 Δ\DeltaΔ

What Is the Value of the Equilibrium Constant at 425 $\Delta$