JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
Consider a mixture of gas molecule of types \(A, B\) and \(C\) having masses \(m_{A}\,<\,m_{B}\,<\,m_{C}\) ratio of their root mean square speeds at normal temperature and pressure is :
- A \({v}_{A}={v}_{{B}} \neq {v_C}\)
- B \(\frac{1}{v_{A}}\,>\,\frac{1}{v_{B}}\,>\,\frac{1}{v_{c}}\)
- C \({v}_{{A}}={v}_{{B}}={v_C}=0\)
- D \(\frac{1}{v_{A}}\,<\,\frac{1}{v_{B}}\,<\,\frac{1}{v_{C}}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{v_{A}}\,<\,\frac{1}{v_{B}}\,<\,\frac{1}{v_{C}}\)
Step-by-step Solution
Detailed explanation
\(V_{\text {RMS }}=\sqrt{\frac{3 R T}{M}}\) \(m_{A}\,<\,m_{B}\,<\,m_{c}\) \(\Rightarrow V_{A}\,>\,V_{B}\,>\,V_{c}\) \(\Rightarrow \frac{1}{V_{A}}\,<\,\frac{1}{V_{B}}\,<\,\frac{1}{V_{c}}\)
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