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A stainless steel chamber contains Ar gas at a temperature T and pressure P . The total number of Ar atoms in the chamber is n . Now Ar gas in the chamber is replaced by CO ₂ gas and the total number of CO ₂ molecules in the chamber is n / 2 at the same temperature T . The pressure in the chamber now is P ^ . Which one of the following relations holds true? (Both the gases behave as ideal gases)

Options

  1. AP ^ = P
  2. BP ^ =2 P
  3. CP ^ = P / 2
  4. DP^ P / 4

Correct answer

C. P ^ = P / 2

Step-by-step solution

The increase in pressure is caused by the number of particles hitting against the walls of the container. Since number of molecules is reduced to half hence the pressure will also be decreased accordingly as per the formula PV = nRT , hence P ^ = P / 2

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