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JIPMER 2012
Exam
JIPMER
Year
2012
Subject
Chemistry
Chapter
Chemical Kinetics

JIPMER 2012 · Chemistry · Chemical Kinetics

In the first order reaction, 75 \% of the reactant gets disappeared...

In the first order reaction, 75%75 \% of the reactant gets disappeared in 1.386 hours. The rate constant of the reaction is

Options

  1. A3.0×10−3 s−13.0 \times 10^{-3} \mathrm{~s}^{-1}
  2. B2.8×10−4 s−12.8 \times 10^{-4} \mathrm{~s}^{-1}
  3. C17.2×10−3 s−117.2 \times 10^{-3} \mathrm{~s}^{-1}
  4. D1.8×10−3 s−11.8 \times 10^{-3} \mathrm{~s}^{-1}

Correct answer

B. 2.8×10−4 s−12.8 \times 10^{-4} \mathrm{~s}^{-1}

Step-by-step solution

For a first order reaction, k=2.3031.386×60×60log⁡aa−0.75ak=\frac{2.303}{1.386 \times 60 \times 60} \log \frac{a}{a-0.75 a} =2.3031.386×60×60log⁡4=\frac{2.303}{1.386 \times 60 \times 60} \log 4 =2.8×10−4 s−1=2.8 \times 10^{-4} \mathrm{~s}^{-1}
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