GATE XE (Engineering Sciences) 2023 - Question 68

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Section: Thermodynamics | Marks: 1

A tank of volume V contains homogeneous mixture of two ideal gases, A and B at a temperature T and a pressure P. The mixture contains nA moles of gas A and nB moles of gas B. If PA and PB are the partial pressures of gas A and gas B, respectively, then

  • A. 𝑃𝐴= 𝑛𝐴 𝑛𝐴+ 𝑛𝐵 𝑃, 𝑃𝐵= 𝑛𝐵 𝑛𝐴+ 𝑛𝐵 𝑃
  • B. 𝑃𝐴= 𝑛𝐵 𝑛𝐴 𝑃, 𝑃𝐵= 𝑛𝐴 𝑛𝐵 𝑃
  • C. 𝑃𝐴= 𝑛𝐴 𝑛𝐵 𝑃, 𝑃𝐵= 𝑛𝐵 𝑛𝐴 𝑃
  • D. 𝑃𝐴= 𝑛𝐵 𝑛𝐴+ 𝑛𝐵 𝑃, 𝑃𝐵= 𝑛𝐴 𝑛𝐴+ 𝑛𝐵 𝑃

Answer: A. 𝑃𝐴= 𝑛𝐴 𝑛𝐴+ 𝑛𝐵 𝑃, 𝑃𝐵= 𝑛𝐵 𝑛𝐴+ 𝑛𝐵 𝑃

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