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NEET CHEMISTRYMedium

The rate constant of the reaction ABA \rightarrow B is 0.6×103 molar per second0.6 \times 10^{-3} \text{ molar per second}. If the concentration of A is 5 M5 \text{ M}, then the concentration of B after 20 min20 \text{ min} is:

A

1.08 M1.08 \text{ M}

B

3.60 M3.60 \text{ M}

C

0.36 M0.36 \text{ M}

D

0.72 M0.72 \text{ M}

Step-by-Step Solution

The unit of the rate constant is molar per second\text{molar per second} (M s1\text{M s}^{-1}), which indicates that it is a zero-order reaction. For a zero-order reaction, the integrated rate equation is: [A]t=[A]0kt[A]_t = [A]_0 - kt The amount of reactant AA consumed is ktkt. Since the stoichiometry of the reaction is 1:11:1, the concentration of product BB formed will be equal to the amount of AA consumed. [B]=kt[B] = kt Given data: k=0.6×103 M s1k = 0.6 \times 10^{-3} \text{ M s}^{-1} t=20 min=20×60 s=1200 st = 20 \text{ min} = 20 \times 60 \text{ s} = 1200 \text{ s} Substituting the values into the equation: [B]=(0.6×103 M s1)×1200 s[B] = (0.6 \times 10^{-3} \text{ M s}^{-1}) \times 1200 \text{ s} [B]=0.6×1.2 M=0.72 M[B] = 0.6 \times 1.2 \text{ M} = 0.72 \text{ M} Therefore, the concentration of BB after 20 minutes20 \text{ minutes} is 0.72 M0.72 \text{ M}.

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