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MEDIUMMCQ SINGLEJEE Mains ChemistryPhysical ChemistryChemical kineticsDifferential and Integral Forms of Rate Law

For a first order reaction, (A) -> product the concentration of A changes from 0.1 M to 0.025 M in40 min. The rate of reaction when the concentration of A is 0.01 M is

A.1.73 × 10–5 M/min
B.3.47 × 10–4 M/min✓ Correct
C.3.47 × 10–5 M/min
D.1.73 × 10–4 M/min
Explanation

For the first order reaction, 2.303 0.1 log 40 0.025 2.303 2.303 log 4 log 2 20 20 2.303 (0.301) 20 K K K So the value of K = 0.0347 Rate = [ ] K A Put the value of K in the above equation: Rate = 2 4 1 0.0347 10 3.47 10 min M x x Hence the correct answer is option (b)

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