A reaction has equilibrium constant K = 1.0 x 10^3 at 298 K. Taking R = 8.314 J mol^-1K^-1, the standard Gibbs energy change is nearest to

JEE Main levelSingle correct optionDifficulty 2 of 3td191

A reaction has equilibrium constant $K = 1.0 \times 1 0^{3}$ at $298 K$ . Taking $R = 8.314 J mo l^{- 1} K^{- 1}$ , the standard Gibbs energy change is nearest to

Δ G^{\circ} = - RT ln K = - 8.314 \times 298 \times ln 1 0^{3} = - 17114 J mo l^{- 1} = - 17.1 kJ mo l^{- 1}

. Using

lo g_{10}

in place of

ln

gives the wrong value

- 7.4