GATE ME 2017 Set 2 — Question 43
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Thermodynamics → Laws & Properties → Zeroth & First Laws
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Question
A calorically perfect gas (specific heat at constant pressure ) enters and leaves a gas turbine with the same velocity. The temperatures of the gas at turbine entry and exit are and , respectively. The power produced is and heat escapes at the rate of through the turbine casing. The mass flow rate of the gas (in ) through the turbine is
Correct answer
(B) 7.00
Solution
Using the Steady Flow Energy Equation (SFEE) for the turbine:Given that the velocities are the same () and neglecting potential energy changes ():For a calorically perfect gas, :Given:
,
(heat escapes, so it is negative)
Substituting the values:Thus, the correct option is (B).
,
(heat escapes, so it is negative)
Substituting the values:Thus, the correct option is (B).
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