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  • 50 ml of each gas A and B take 150 s and 200 s respectively for effusing through a pinhole under similar conditions .If molar mass of gas B is 36, molar mass of A _______<div class='qna-option'

50 ml of each gas A and B take 150 s and 200 s respectively for effusing through a pinhole under similar conditions .If molar mass of gas B is 36, molar mass of A _______

Option: 1

20.25


Option: 2

64


Option: 3

96


Option: 4

128


Answers (1)

best_answer

\mathrm{\begin{aligned} & \frac{r_A}{r_B}=\sqrt{\frac{M_B}{M_A}} \text { oro, } \frac{V_A}{t_A} \times \frac{t_B}{V_B}=\sqrt{\frac{M_B}{M_A}} \\ & \text { or, } \frac{50}{150} \times \frac{200}{50}=\sqrt{\frac{36}{M_A}} \\ & \Rightarrow \frac{4}{3}=\sqrt{\frac{36}{M_A}} \\ & \Rightarrow \frac{16}{9}=\frac{36}{M_A} \Rightarrow M_A=\frac{36 \times 9}{16}=20.25 \end{aligned}}

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shivangi.shekhar

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