Question #175241

2lb/min of a certain gas whose R=767ft-lb/lb-R undergoes a steady flow isentropic process from 50 psia, 90ft/lb and 300ft/s until the pressure and velocity are doubled, and the volume is reduced by one third of its inital value. Determine a)H b)U c) Work

Expert's answer

Velocity is directly proportional to the Temperature of a system.

This means that when the velocity is doubled, the Absolute Temperature is doubled

P_{1}/P_{2} = 1/2

V_{2}/V_{1} = 1/3

P_{1}/P_{2} = (V_{2}/V_{1})^{γ}

1/2 = (1/3)^{γ}

γ = 0.631

"W = \\dfrac{1}{\u03b3 -1}(p_1V_1 - p_2V_2)"

"W = \\dfrac{1}{0.631- 1} (150V_2 - 50V_2)"

"W = -2.71(100V_2) = -271V_2"

"\u2206U = -W = 271V_2"

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