Question

Find the log $ K $ value, if $ \Delta G = -11.4 $ and $ 2.303 \cdot RT = 5.7 \times 10^1 $.

• A. \( 0.2 \)
• B. \( 0.4 \)
• C. \( 1.5 \)
• D. \( 3.2 \)

Hint:

Remember that the units for \( \Delta G \) should match the units used in the equation for \( RT \). Always verify your units and values before substituting.

Answer 1

The Correct Option is C

We are given the following: - \( \Delta G = -11.4 \) - \( 2.303 \cdot RT = 5.7 \times 10^1 \) We can use the formula for Gibbs free energy change and the equilibrium constant: \[ \Delta G = -2.303 \cdot RT \cdot \log K \] Rearranging for \( \log K \): \[ \log K = \frac{-\Delta G}{2.303 \cdot RT} \] Substitute the values: \[ \log K = \frac{-(-11.4)}{5.7 \times 10^1} = \frac{11.4}{57} = 0.2 \]
Thus, the correct value of \( \log K \) is \( 0.2 \).