(a) Explanation Write the steady state energy equation for the compressor A. ( W ˙ c v ) A + H 2 = ( Q ˙ c v ) A + H 1 ( W ˙ c v ) A = ( Q ˙ c v ) A + ( H 1 − H 2 ) (I) Here, the rate of work through the compressor A is ( W ˙ c v ) A , the rate of enthalpy at the exit is H 2 , the rate of heat flow through the control volume is Q ˙ c v and the rate of enthalpy at the entry is H 1 . There is no heat transfer through the compressor A that is ( Q ˙ c v ) A = 0 . Write the expression for the enthalpy rate at the entry of the compressor A. H 1 = m ˙ h 1 Here, the specific enthalpy of at 1 is h 1 and the mass flow rate of air is m ˙ . Write the expression for the enthalpy rate at the exit of the compressor A. H 2 = m ˙ h 2 Here, the specific enthalpy of the air at 2 is h 2 . Substitute 0 for ( Q ˙ c v ) A , m ˙ h 2 for H 2 and m ˙ h 1 for H 1 in Equation (I) ( W ˙ c v ) A = 0 + m ˙ ( h 1 − h 2 ) = m ˙ ( h 1 − h 2 ) (II) Write the expression for power for the compressor B. ( W ˙ c v ) B = m ˙ ( h 3 − h 4 ) (III) Here, the specific enthalpy of air at 3 is h 3 and the specific enthalpy of air at 4 is h 4 . Write the expression for the total power from both compressors. W ˙ = ( W ˙ c v ) A + ( W ˙ c v ) B (IV) Conclusion: Refer to Table A-22 “Ideal Gas Properties of Air” to obtain specific enthalpy as 300.19 kJ / kg with respect to pressure of 1 bar and temperature of 300 K and 607.02 kJ / kg with respect to pressure of 3 bar and temperature of 600 K . Substitute 0 (b) To determine The mass flow rate of water in kg / s .

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ISBN: 2818440116926

Author: MORAN

Publisher: WILEY CONS

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Chapter 4.12, Problem 100P

(a)

To determine

The total power required by both the compressors in kW.

(b)

To determine

The mass flow rate of water in kg/s.

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Chapter 4.12, Problem 99P

Chapter 4.12, Problem 101P

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The total power required by both the compressors in kW .