Question #259080

A steady flow, steady state thermodynamic system receives 45 kg/min of a fluid at 207kPa and discharges it from point 24 m. above the entrance section at 1034 kPa. The fluid enters with a velocity of 36.6 m/s and leaves with a velocity of 12 m/s. During this process, there are supplied 7 kW of heat from an external source, and the increase in enthalpy is 4.6 kJ/kg.


1
Expert's answer
2021-10-31T18:16:28-0400

wf1=p1V1=5.351 kJkg,wf_1=p_1V_1=5.351~\frac{kJ}{kg},

wf2=p2V2=106.459 kJkg,wf_2=p_2V_2=106.459~\frac{kJ}{kg},

KE1=v122k=7.442 kJkg,KE_1=\frac{v_1^2}{2k}=7.442~\frac{kJ}{kg},

KE2=v222k=16.745 kJkg,KE_2=\frac{v_2^2}{2k}=16.745~\frac{kJ}{kg},

Ein=Eout,E_{in}=E_{out},

U1+wf1+KE1+Q=U2+wf2+KE2+W,U_1+wf_1+KE_1+Q=U_2+wf_2+KE_2+W,

W=486 kJmin.W=-486~\frac{kJ}{min}.


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