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  • At 300K, the root mean square (rMs) Speed of gas A [molecular weight 40] is equal to the most probable speed of gas B at 100 K. The Molecular weight of gas B is?<div class='qna-o

At 300K, the root mean square (rMs) Speed of gas A [molecular weight 40] is equal to the most probable speed of gas B at 100 K. The Molecular weight of gas B is?

Option: 1

4 g


Option: 2

4.8 g


Option: 3

8.8 g


Option: 4

9 g


Answers (1)

best_answer

\mathrm{\begin{aligned} & V_{\text {rMS }}=V_{M P} \\ & \sqrt{\frac{3 R T}{M(A)}}=\sqrt{\frac{2 R T}{M(B)}} \end{aligned}}

\mathrm{\begin{aligned} \sqrt{\frac{3 \times R \times 300}{40}} & =\sqrt{\frac{2 \times R \times 100}{M(B)}} \\ M(B) & =\frac{200 \times 40}{3 \times 300}=\frac{8000}{900} \\ & =8.88 \end{aligned}}

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Divya Prakash Singh

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