MCQEasyJEE 2026Rate of Reaction

JEE Chemistry 2026 Question with Solution

Given above is the concentration vs time plot for a dissociation reaction : AnBA \to nB. Based on the data of the initial phase of the reaction (initial 10min10 \, \text{min}), the value of nn is ____.

Concentration versus time graph for reaction A to nB showing a solid decreasing curve from 0.05 M to about 0.01 M and a dashed increasing curve from 0 to about 0.045 M over 80 minutes.
  • A

    44

  • B

    55

  • C

    22

  • D

    33

Answer

Correct answer:A

Step-by-step solution

Standard Method

Given: The reaction is AnBA \to nB and the initial 10min10 \, \text{min} data are to be used.

Find: The value of nn.

From the graph, concentration of AA decreases from 0.05M0.05 \, \text{M} to 0.04M0.04 \, \text{M} in 10min10 \, \text{min}.

Δ[A]=0.01M-\Delta [A] = 0.01 \, \text{M}

From the graph, concentration of BB increases from 00 to 0.04M0.04 \, \text{M} in 10min10 \, \text{min}.

Δ[B]=0.04M\Delta [B] = 0.04 \, \text{M}

For AnBA \to nB,

Rate=d[A]dt=1nd[B]dt\text{Rate} = -\frac{d[A]}{dt} = \frac{1}{n}\frac{d[B]}{dt}

So, using the ratio of changes in the initial interval,

n=Δ[B]Δ[A]=0.040.01=4n = \frac{\Delta [B]}{-\Delta [A]} = \frac{0.04}{0.01} = 4

Therefore, the value of nn is 44 and the correct option is A.

Stoichiometric Change Ratio

Given: Initial concentration changes are read from the concentration-time plot.

Find: The stoichiometric coefficient of product BB.

In a reaction of the form AnBA \to nB, if the stoichiometric coefficient of reactant AA is 11, then the product formed is nn times the reactant consumed.

During the first 10min10 \, \text{min},

  • reactant consumed = 0.050.04=0.01M0.05 - 0.04 = 0.01 \, \text{M}
  • product formed = 0.040=0.04M0.04 - 0 = 0.04 \, \text{M}

Hence,

n=product formedreactant consumed=0.040.01=4n = \frac{\text{product formed}}{\text{reactant consumed}} = \frac{0.04}{0.01} = 4

Therefore, the dissociation reaction is consistent with A4BA \to 4B in the initial phase.

Common mistakes

  • Using concentrations from later times instead of the initial 10min10 \, \text{min} interval. This is wrong because the question explicitly asks for the initial phase. Read only the concentration changes between t=0t = 0 and t=10mint = 10 \, \text{min}.

  • Taking Δ[A]-\Delta[A] as 0.04M0.04 \, \text{M} instead of 0.01M0.01 \, \text{M}. This is wrong because AA falls from 0.05M0.05 \, \text{M} to 0.04M0.04 \, \text{M}, so only the difference is consumed. Always subtract final from initial for reactant loss.

  • Inverting the ratio and using Δ[A]Δ[B]\frac{-\Delta[A]}{\Delta[B]}. This is wrong because for AnBA \to nB, the stoichiometric coefficient is obtained from n=Δ[B]Δ[A]n = \frac{\Delta[B]}{-\Delta[A]} when the coefficient of AA is 11.

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