JEE Main · 2024 · Shift-IImediumCK-081

For a reaction A K1 B K2 C If the rate of formation of B is set to be zero then the concentration of B is given by:

Chemical Kinetics · Class 12 · JEE Main Previous Year Question

Question

For a reaction $\mathrm{A} \xrightarrow{K_1} \mathrm{B} \xrightarrow{K_2} \mathrm{C}$

If the rate of formation of B is set to be zero then the concentration of B is given by:

Options

a
$(K_1 + K_2)[\mathrm{A}]$
b
$(K_1/K_2)[\mathrm{A}]$
✓
c
$(K_1 - K_2)[\mathrm{A}]$
d
$K_1 K_2[\mathrm{A}]$

Correct Answerb

$(K_1/K_2)[\mathrm{A}]$

Detailed Solution

Rate of formation of B: $\frac{d[\mathrm{B}]}{dt} = K_1[\mathrm{A}] - K_2[\mathrm{B}]$

Setting this to zero (steady-state approximation): $K_1[\mathrm{A}] - K_2[\mathrm{B}] = 0$ $[\mathrm{B}] = \frac{K_1}{K_2}[\mathrm{A}]$

Answer: Option (2)

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