Verified Solution • 2025–26 Session moderate

QJEEM12Ch7fd3: JEE Main 2012 Chemistry - Class 12 JEEM12Ch7fd3 Solution: For a first order reaction, (A) products, the concentration of…

For a first order reaction, (A) →\to products, the concentration of A changes from 0.1 M to 0.025 M in 40 minutes. The rate of reaction when the concentration of A is 0.01 M is :

Multiple Choice Options

  • A 1.73 x 10–5 M/ min
  • B 3.47 x 10–4 M/min
  • C 3.47 x 10–5 M/min
  • D 1.73 x 10–4 M/min

Step-by-Step Verified Solution

For a first order reaction

k=2.0303t log⁡ aa−xk = {{2.0303} \over t}\,\log \,{a \over {a - x}}

=2.30340log⁡0.10.025= {{2.303} \over {40}}\log {{0.1} \over {0.025}}

=2.30340log⁡4= {{2.303} \over {40}}\log 4

=2.303×0.602040= {{2.303 \times 0.6020} \over {40}}

=3.47×10−2= 3.47 \times {10^{ - 2}}

R=K(A)1=3.47×10−2×0.01R = K{\left( A \right)^1} = 3.47 \times {10^{ - 2}} \times 0.01

=3.47×10−4= 3.47 \times {10^{ - 4}}

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