GATE XE (Engineering Sciences) 2024 - Question 72

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Section: Thermodynamics | Type: MSQ | Marks: 1

Two rigid, impermeable containers 𝐴 and 𝐡 are filled with an ideal gas. They are allowed to exchange heat only with each other and not with the surroundings. 𝑃, 𝑉, 𝑁, and 𝑇 represent the pressure, total volume, number of moles, and temperature, respectively. At equilibrium, which of the following conditions is/are necessarily satisfied? (Subscripts 𝐴 and 𝐡 represent properties of the gas in the respective containers.)

  • A. 𝑃𝐴= 𝑃𝐡
  • B. 𝑇𝐴= 𝑇𝐡
  • C. 𝑃𝐴𝑉𝐴 𝑁𝐴 = 𝑃𝐡𝑉𝐡 𝑁𝐡
  • D. 𝑃𝐴 𝑉𝐴 = 𝑃𝐡 𝑉𝐡

Answer: B. 𝑇𝐴= 𝑇𝐡; C. 𝑃𝐴𝑉𝐴 𝑁𝐴 = 𝑃𝐡𝑉𝐡 𝑁𝐡

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