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A Gas taken in a closed vessel is heated from 54^ C to 1254^ C . The pressure of the gas becomes ___________ times its original pressure P₁

Options

  1. A23.2 times P₁
  2. B9.6 times P₁
  3. C4.67 times P₁
  4. D8.92 times P₁

Correct answer

C. 4.67 times P₁

Step-by-step solution

For a gas in a closed vessel, the volume V remains constant. According to Gay-Lussac's Law, for a fixed amount of gas at constant volume, the pressure P is directly proportional to the absolute temperature T . The initial temperature T₁ = 54^ C = 54 + 273 = 327 K . The final temperature T₂ = 1254^ C = 1254 + 273 = 1527 K . Using the relation P₁ T₁ = P₂ T₂ , we have P₂ = P₁ T₂ T₁ . P₂ = P₁ 1527 327 . Calculating the ratio: 1527 327 4.67 . Therefore, the pressure becomes 4.67 times its original pressure P₁ . Answer:

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