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Thermodynamics
First Law of Thermodynamics
GATE 2017
Medium

A calorically perfect gas (specific heat at constant pressure 1000 J/kg·K) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are 1100 K and 400 K, respectively. The power produced is 4.6 MW and heat escapes at the rate of 300 kJ/s through the turbine casing. The mass flow rate of the gas (in kg/s) through the turbine is

  • A6.14
  • 7.00
  • C7.50
  • D8.00

Explanation

Energy balance (no velocity/elevation change): ṁCp(T1−T2) = Power + Q_loss. ṁ×1000×(1100−400) = 4,600,000 + 300,000 = 4,900,000 W. ṁ = 4,900,000/(1000×700) = 7.0 kg/s.

Source: GATE ME 2017 Session 2 (ME-2) (2017)

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