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GATE 2023 PI – Question 32

General Engineering · Thermal and Fluids Engineering · 1 mark · Numerical answer

Steam steadily enters a turbine at h₁ = 3200 kJ/kg and exits wet at 0.1 bar. Heat loss is 100 kJ/kg and work output 1000 kJ/kg; neglect kinetic/potential energy changes. At exit pressure, h_f = 200 and h_fg = 2400 kJ/kg. Find exit dryness fraction to two decimals.

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Correct answer: 0.75 to 0.85

Explanation

With heat into the turbine positive, q = −100. Steady-flow energy gives $h_2=h_1+q-w=3200-100-1000=2100$ kJ/kg. For wet steam, $h_2=h_f+xh_{fg}$, so $x=(2100-200)/2400=0.79167$. **0.79**.

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