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AMU Medical AMU Solved Paper-2006

  • 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 concentration?

    A)  20 min                                 

    B)  33 min

    C)  15 mm                                

    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            \[t=\frac{2.303\times 10}{0.693}\times \log 10=33\,\min \]


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