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NEET · Chemistry · STD 11 - 6.1. Equilibrium - 1 (chemical Equilibrium)

Using the Gibb's energy change, \(\Delta G^o  = +63.3 \,kJ,\) for the following reaction, \(Ag_2CO_{3(s)} \rightleftharpoons 2Ag^+_{(aq)} + CO^{2-}_{3(s)}\) in water at \(25\, ^o C\) is   \((R = 8.314\, J\, K^{-1}\,mol^{-1})\)

  1. A \(3.2 \times 10^{-26}\)
  2. B \(8.0  \times 10^{-12}\)
  3. C \(2.9  \times  10^{-3}\)
  4. D \(7.9 \times  10^{-2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(8.0  \times 10^{-12}\)

Step-by-step Solution

Detailed explanation

\(\Delta \mathrm{G}^{o}\) is related to \(\mathrm{K}_{\mathrm{sp}}\) by the equation, \(\Delta G^{o}=-2.303 \mathrm{RT} \log \mathrm{K}_{\mathrm{sp}}\) We have Given, \(\Delta G^{o}=+63.3 \,\mathrm{KJ}=63.3 \times 10^{3} \,\mathrm{J}\)