JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
The \(rms\) speeds of the molecules of Hydrogen, Oxygen and Carbondioxide at the same temperature are \({V}_{{H}}, {V}_{0}\) and \({V}_{{C}}\) respectively then
- A \({V}_{{H}}>{V}_{0}>{V}_{{C}}\)
- B \({V}_{{C}}>{V}_{0}>{V}_{{H}}\)
- C \({V}_{{H}}={V}_{0}>{V}_{{C}}\)
- D \({V}_{{H}}={V}_{{O}}={V}_{{C}}\)
Answer & Solution
Correct Answer
(A) \({V}_{{H}}>{V}_{0}>{V}_{{C}}\)
Step-by-step Solution
Detailed explanation
\({V}_{{RMS}}=\sqrt{\frac{3 {RT}}{{M}_{{W}}}}\) At the same temperature \({V}_{{RMS}} \propto \frac{1}{\sqrt{{M}_{{w}}}}\) \(\Rightarrow {V}_{{H}}>{V}_{0}>{V}_{{C}}\)
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