A hypothetical reaction : $A_{(g)} + B_{(g)} ⇌ C_{(g)} + D_{(g)}$ occurs in a single step, the specific rate constant of forward reaction at TK is $2.0 \times 10^{- 3} m o l^{- 1} L s^{- 1}$ . When start is made with equimolar amounts of A and B, it is found that the concentration of A is twice that of C at equilibrium. The specific rate constant of the backward reaction is ?

$5.0 \times 10^{- 4} m o l^{- 1} L s^{- 1}$

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$8.0 \times 10^{- 3} m o l^{- 1} L s^{- 1}$

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$1.5 \times 10^{2} m o l^{- 1} L s^{- 1}$

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$N o n e o f t h e s e$

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Solution

The correct option is B
$8.0 \times 10^{- 3} m o l^{- 1} L s^{- 1}$

$\begin{matrix} A & + & B & ⇌ & C & + & D a & a & 0 & 0 a - x & a - x & x & x \end{matrix} G i v e n : a - x = 2 x, x = \frac{a}{3}; K_{C} = \frac{x \times x}{(a - x) (a - x)} = 0.25; K_{C} = \frac{K_{f}}{K_{b}}; K_{b} = \frac{K_{f}}{K_{c}} = \frac{2 \times 10^{- 3}}{0.25} = 8 \times 10^{- 3}$

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A hypothetical reaction : $A_{(g)} + B_{(g)} ⇌ C_{(g)} + D_{(g)}$ occurs in a single step, the specific rate constant of forward reaction at TK is $2.0 \times 10^{- 3} m o l^{- 1} L s^{- 1}$ . When start is made with equimolar amounts of A and B, it is found that the concentration of A is twice that of C at equilibrium. The specific rate constant of the backward reaction is ?

Q. The reaction

A (g) + B (g) ⇌ C (g) + D (g)

is elementry

2^{n d}

order reaction. When started with equimolar amounts of A and B, at equilibrium, it is found that the concentration of A is twice that of C. Specific rate for forward reaction is

2 \times 10^{- 3} m o l^{- 1} L s e c^{- 1}

. The specific rate constant for backward reaction is:

Q. Consider the reaction

A (g) + B (g) ⇌ C (g) + D (g)

Which occurs in one step The specific rate constant are

0.25

and

5000

for the forward and reverse reaction, respectively. The equilibrium constant is :

Consider the reaction.

$A_{(g)} + B_{(g)} ⇌ C_{(g)} + D_{(g)}$ which occurs in one step. The specific rate constants are 0.25 and 5000 for the forward and reverse reaction, respectively. The equilibrium constant is