NEET Sample Paper NEET Sample Test Paper-39

  • question_answer 62) 50 mL of each gas A and of gas B takes 150 and 200 seconds respectively for effusing through a pin hole under the similar condition. It molecular mass of gas B is 36, then the molecular mass of gas A will be

    A)  96           

    B)  128

    C)  32           

    D)  64

    Correct Answer: C

    Solution :

     \[{\frac{{{V}_{A}}}{{{t}_{A}}}}/{\frac{{{V}_{B}}}{{{t}_{B}}}}\;=\sqrt{\frac{{{M}_{B}}}{{{M}_{A}}}}\] \[\Rightarrow \]\[\frac{200}{150}=\sqrt{\frac{36}{{{M}_{A}}}}\Rightarrow \frac{4}{3}=\sqrt{\frac{36}{{{M}_{A}}}}\] \[\Rightarrow \]\[\frac{16}{9}=\frac{36}{{{M}_{A}}}\Rightarrow \frac{81}{4}=20.25\] So, most approximate answer is 32.

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