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 constant. c p = k R ( k − 1 ) (II) Here, constant is c p and the other constant is k . Write the expression for temperature at point 2s. T 2 s = T 1 ( p 2 p 1 ) k − 1 k (III) Here, temperature at point 2s is T 2 s , constant is k , pressure at state 1 is p 1 , pressure at state 2 is p 2 and temperature at state inlet is T 1 . Write the expression for compressor efficiency. η c = T 2 s − T 1 T 2 − T 1 (IV) Here, compressor efficiency is η c and the temperature at state 2 is T 2 . Write the expression for work per unit mass of oxygen flowing. W ˙ c v m ˙ = c p ( T 1 − T 2 ) (V) Here work per unit mass of oxygen flowing is W ˙ c v m ˙ c p . Conclusion: Substitute 8.314 kJ / kmol ⋅ K for R ¯ and 32 kmol / kg for M in Equation (I). R = 8.314 kJ / kmol ⋅ K 32 kmol / kg ≈ 0.2598125 kJ / kg ⋅ K Substitute 0.2598125 kJ / kg ⋅ K for R and 1.379 for k in Equation(II). c p = ( 0.2598125 kJ / kg ⋅ K ) 1.379 ( 1.379 − 1 ) = 0

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Chapter 6.13, Problem 146P

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The isentropic compressor efficiency.

The work per unit mass of oxygen flowing.

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Chapter 6.13, Problem 145P

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The isentropic compressor efficiency.

The work per unit mass of oxygen flowing.