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Thermodynamics
First Law of Thermodynamics
GATE 2021
Medium

Superheated steam at 1500 kPa has a specific volume of 2.75 m³/kmol and compressibility factor (Z) of 0.95. The temperature of steam is ___ °C (round off to the nearest integer).

  • A522
  • B471
  • 249
  • D198

Explanation

Using Pv = ZR̄T with R̄ = 8.314 kJ/kmol·K: T = Pv/(ZR̄) = (1500 × 2.75)/(0.95 × 8.314) = 4125/7.898 ≈ 522.3 K = 249.2°C.

Source: GATE ME 2021 Session 1 (ME-1) (2021)

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