Question

A self-contained machine has, as its input, two equal steady streams of a fluid at temperatures T and 47, respectively. The only output is a single high speed jet of the same fluid at temperatures T. The heat capacity per unit mass of the fluid is C (and is independent of the temperature). What is the maximum possible speed of the jet

Answer 1

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Answer 2

Answer:

(CT)^1/2

Explanation:

Since, ΔQ = m C (4T-Tf) - m C (Tf - T)/ 2m

and equilibrium temperature is given by Tf = (T1*T2)^1/2 = (4T*T)^1/2 =2T

SO, NOW ΔQ = C T/2

1/2 V^2(kinetic energy in unit mass) = CT/2

V(MAX) = (CT)^1/2