\(2 A \rightleftharpoons B+C\)

\(R=8.314 \,J / K / \mathrm{\,mol}\)

\(e=2.718\)

\([A]=\frac{1}{2},[B]=2\)

\([C]=\frac{1}{2} ; Q=\frac{|B||C|}{|A|^{2}}\)

\(=\frac{2 \times 1 / 2}{\left(\frac{1}{2}\right)^{2}}=4\)

\(\Delta G^{\circ}=-2.303 R T \log K_{c}\)

\(2494.2 \,J=-2.303 \times(8.314 \,J / K /\, m o l) \times(300 K) \log K_{c}\)

\(\Rightarrow \log K_{e}\)

\(=-\frac{2494.2 \,J}{2.303 \times 8.314 \,J / K /\, m o l \times 300 \,K}\)

\(\Rightarrow \log K_{c}=-0.4341 ; K_{c}=0.37 ; Q>K_{c}\)