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TS EAMCET · Physics · Kinetic Theory of Gases

The pressure of a mixture of 64 g of oxygen, 28 g of nitrogen and 132 g of carbon dioxide gases in a closed vessel is P. Under isothermal conditions if entire oxygen is removed from the vessel, the pressure of the mixture of remaining two gases is

  1. A P
  2. B \(\frac{3 P}{2}\)
  3. C \(\frac{P}{3}\)
  4. D \(\frac{2 \mathrm{P}}{3}\)
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Answer & Solution

Correct Answer

(D) \(\frac{2 \mathrm{P}}{3}\)

Step-by-step Solution

Detailed explanation

\(n_{O_2} = \frac{64}{32} = 2 \text{ mol}\) \(n_{N_2} = \frac{28}{28} = 1 \text{ mol}\) \(n_{CO_2} = \frac{132}{44} = 3 \text{ mol}\) \(n_{total, initial} = 2 + 1 + 3 = 6 \text{ mol}\) \(P = \frac{n_{total, initial} RT}{V} = \frac{6 RT}{V}\)…
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