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Manipal Medical Manipal Medical Solved Paper-2005

  • question_answer
    For a reaction, \[X(g)\xrightarrow[{}]{{}}Y(g)+Z(g)\] the half life period is 10 min. In what period of time would the concentration of X be reduced to 10% of original conceiitration?

    A)  20 min        

    B)  33 min

    C)  15 min        

    D)  25 min

    Correct Answer: B

    Solution :

     \[X(g)\xrightarrow[{}]{{}}Y(g)+Z(g)\] The reaction is a first order reaction. Hence \[k=\frac{0.693}{{{t}_{1/2}}}=\frac{2.303}{t}\log \frac{a}{a-x}\] \[\therefore \] \[\frac{0.693}{10}=\frac{2.303}{t}\log \frac{a}{a/10}\] Or \[t=\frac{2.303\times 10}{0.693}\times \log 10\] \[=33\text{ }min.\]


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