The standard Gibbs energy change at 300 K for the reaction 2A $\underset{}{⇌}$ B + C is 2494.2J. At a given time, the composition of the reaction mixture is [A] = $\frac{1}{2}$ , [B] = 2 and [C] = $\frac{1}{2}$ . The reaction proceeds in the : [R = 8.3 14 J/K/mol, e = 2.718]

see full answer

Start JEE / NEET / Foundation preparation at rupees 99/day !!

21% of IItians & 23% of AIIMS delhi doctors are from Sri Chaitanya institute !!

An Intiative by Sri Chaitanya

forward direction because Q < K_c

reverse direction because Q < K_c

forward direction because Q > K_c

reverse direction because Q > K_c

answer is D.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

$\begin{array}{l} {ΔG}^{\circ} = 2494 .2 J \\ 2 A ⇌ B + C . \\ [A] = \frac{1}{2}, [B] = 2, [C] = \frac{1}{2} \\ Q = \frac{[B] [C]}{[A]^{2}} = \frac{2 \times 1 / 2}{{(\frac{1}{2})}^{2}} = 4 \\ {ΔG}^{\circ} = - 2 .303 RTlog K_{C} \\ 2494 .2 J = - 2 .303 \times (8 .314 J / K / mol) \times (300 K) logK \\ \Rightarrow \log K_{C} = - \frac{2494 .2 J}{2 .303 \times 8 .314 J / K / mol \times 300 K} \\ \Rightarrow \log K_{C} = - 0 .4341; K_{C} = 0 .37; Q > K_{C} \end{array}$