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Air, modeled as an ideal gas, is compressed at steady state from 1 bar, 300 K, to 5 bar, 500 K, with 90 kW of power input. Heat transfer occurs at a rate of 10 kW from the air to cooling water circulating in a water jacket enclosing the compressor. Neglecting kinetic and potential energy effects, determine the mass flow rate of the air, in kg/s.

Respuesta :

Chrisnando

Answer:

0.4kg/s

Explanation:

Where

[tex] Q_c_v = -10kw [/tex]

[tex] W_c_v = -90kw [/tex]

Using inlet and exit temperatures we have:

[tex] h_1 = 300.10KJ/g [/tex]

[tex] h_2 = 503.02KJ/g [/tex]

Therefore, solving for mass flow rate we use the formula:

[tex] m = Q_c_v - W_c_v / h_2 - h_1 [/tex]

[tex] m = [ (-10kw) - (-90kw) / (503.02 -300.19) KJ/Kg] [/tex]

[tex] = 0.394Kg/s [/tex]

Mass flow rate m= 0.394Kg/s

approximately 0.4Kg/s

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