ISRO Mechanical & Aerospace 2023 - Question 43

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Topic: Thermodynamics

Vapor pressure in mm of mercury of solid and liquid ammonia is given by $\ln P = 23.1 - (3749/T)$ and $\ln P = 19.6 - (3049/T)$, find out the triple point.

  • A. 700 K
  • B. 231 K
  • C. 200 K
  • D. 180 K

Answer: C. 200 K

Explanation: At the triple point, the vapor pressures of the solid and liquid phases are equal. Equating the two expressions: $23 Jan 3749/T = 19 Jun 3049/T$. Rearranging gives $23.1 - 19.6 = 3749/T - 3049/T$, so $3.5 = 700/T$. Solving for $T$ yields $T = 700 / 3.5 = 200$ K.

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