COMEDK · Physics · 14. Kinetic Theory of Gases
The rms velocity of the gas molecule at \(327^{\circ} \mathrm{C}\) is same as the rms velocity of the oxygen molecules at \(27^{\circ} \mathrm{C}\). If the molecular weight of oxygen is 32 then the molecular weight of the given gas molecule is:
- A \(64\)
- B \(96\)
- C \(32\)
- D \(128\)
Answer & Solution
Correct Answer
(A) \(64\)
Step-by-step Solution
Detailed explanation
The root mean square velocity of a gas is given by the formula \(v_{rms} = \sqrt{\dfrac{3RT}{M}}\), where \(R\) is the universal gas constant, \(T\) is the absolute temperature in Kelvin, and \(M\) is the molar mass of the gas. Given that the rms velocity of the gas at…
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