JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
If the \(rms\) speed of oxygen molecules at \(0^{\circ} {C}\) is \(160\; {m} / {s}\), find the rms speed of hydrogen molecules at \(0^{\circ} {C}\). (In \({m}/{s}\))
- A \(640\)
- B \(40\)
- C \(80\)
- D \(332\)
Answer & Solution
Correct Answer
(A) \(640\)
Step-by-step Solution
Detailed explanation
\({V}_{{rms}}=\sqrt{\frac{3 {KT}}{{M}}}\) \(\frac{\left({V}_{{ms}}\right)_{{O}_{2}}}{\left({V}_{{mms}}\right)_{{H}_{2}}}=\sqrt{\frac{{M}_{{H}_{2}}}{{M}_{{O}_{2}}}}=\sqrt{\frac{2}{32}}\) \(\left({V}_{{rms}}\right)_{{H}_{2}}=4 \times\left({V}_{{rms}}\right)_{{O}_{2}}\)…
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