$2 A \rightleftharpoons B+C$

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

$e=2.718$

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

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

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

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

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

$\Rightarrow \log K_{e}$

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

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