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COMEDK · Physics · 14. Kinetic Theory of Gases

A vessel of volume \(27 \times 10^4\) cc, contains a mixture of Hydrogen (molar mass \(= 2\ g\ mol^{-1}\)) and oxygen (molar mass \(= 32\ g\ mol^{-1}\)) gas at standard temperature and pressure. If the mass of hydrogen is 16 g, find the mass of oxygen gas contained in the vessel.

  1. A \(72\) g
  2. B \(129.7\) g
  3. C \(64\) g
  4. D \(160\) g
Verified Solution

Answer & Solution

Correct Answer

(B) \(129.7\) g

Step-by-step Solution

Detailed explanation

Volume of the vessel, \(V = 27 \times 10^4\) cc \(= 270\) L At STP, the volume of \(1\) mole of an ideal gas is \(22.4\) L. Total number of moles in the mixture, \(n = \dfrac{270}{22.4} \approx 12.054\) Number of moles of hydrogen, \(n_{H_2} = \dfrac{16}{2} = 8\) Number of moles…