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JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Question Bank Rate law and Rate Constant

  • question_answer
    The half-life of 2 sample are 0.1 and 0.4 seconds. Their respective concentration are 200 and 50 respectively. What is the order of the reaction              [JEE Orissa 2004]

    A)                 0             

    B)                 2  

    C)                 1             

    D)                 4

    Correct Answer: B

    Solution :

               \[{{t}_{1/2}}\propto {{a}^{1-n}}\]Þ \[\frac{0.1}{0.4}=\frac{{{(200)}^{1-n}}}{{{(50)}^{1-n}}}\]Þ\[\frac{1}{4}={{\left[ \frac{4}{1} \right]}^{1-n}}={{\left[ \frac{1}{4} \right]}^{n-1}}\]                                 Þ \[\frac{1}{{{4}^{1}}}=\frac{1}{{{4}^{n-1}}}\] \[\therefore \ \ n-1=1\]; \[n=2\].


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