KCET · Chemistry · States of Matter
Which of the following gases has the highest value of RMS velocity at \(298 \mathrm{~K}\) ?
- A \(\mathrm{CH}_{4}\)
- B \(\mathrm{CO}\)
- C \(\mathrm{Cl}_{2}\)
- D \(\mathrm{CO}_{2}\)
Answer & Solution
Correct Answer
(A) \(\mathrm{CH}_{4}\)
Step-by-step Solution
Detailed explanation
RMS-velocity of a gas \(v_{\text {rms }}=\sqrt{\frac{3 R T}{M}}\)
Hence, higher the molecular weigth of a gas, lower will be its RMS-velocity
\(v_{\text {rms }} \propto \sqrt{\frac{1}{M}}\)
\(\therefore \mathrm{CH}_{4}\) (mol. weight \(=16\) ) has highest RMS-velocity.
Hence, higher the molecular weigth of a gas, lower will be its RMS-velocity
\(v_{\text {rms }} \propto \sqrt{\frac{1}{M}}\)
\(\therefore \mathrm{CH}_{4}\) (mol. weight \(=16\) ) has highest RMS-velocity.
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