(a) Explanation Write the expression for gas constant. R = R ¯ M (I) Here, universal gas constant is R ¯ , gas constant is R and the molecular mass is M . Write the expression for specific capacity. c p = k R ( k − 1 ) (II) Here, specific capacity is c p and the constant is k . Write the expression for temperature at the exit of turbine using mass and energy rate balance. T 2 = T 1 − W ˙ c v m ˙ c p (III) Here, temperature at the exit of turbine is T 2 , temperature at the inlet of turbine is T 1 , power developed is W ˙ c v and the mass flow rate is m ˙ . Conclusion: Substitute 8.314 kJ / kmol ⋅ K for R ¯ and 28.97 kmol / kg for M in Equation (I). R = 8.314 kJ / kmol ⋅ K 28.97 kmol / kg ≈ 0.287 kJ / kg ⋅ K Substitute 0.287 kJ / kg ⋅ K for R and 1.4 for k in Equation(II). c p = ( 0 (b) To determine The isentropic turbine efficiency.

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ISBN: 9781119391630

Author: MORAN

Publisher: WILEY

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Chapter 6.13, Problem 141P

(a)

To determine

The temperature of the air at the turbine exit.

(b)

To determine

The isentropic turbine efficiency.

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Chapter 6.13, Problem 140P

Chapter 6.13, Problem 142P

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