Plz show me how to work out this question by step, thx Carbon dioxide gas enters

Question

Plz show me how to work out this question by step, thx

Carbon dioxide gas enters a compressor at conditions P_1 = 15 psia and T_1 = 50 degree F, and is discharged at conditions P_2 = 520 psia and T_2 = 200 degree F. The entering CO_2 flows through a 4-inch diameter pipe with a velocity of 20 ft/s and is discharged through a 1-inch diameter pipe. Assume the compressor is completely insulated such that no heat is delivered to the environment What is the shaft work required to power the compressor, in Btu/lb_m? What is the cost of running the compressor in dollars per hour if energy costs $0.10 per kW-hr (typical of electric utilities)? H_1 = 307 Btu/lb_m V_1 = 9.25 ft^3/lb_m H_2 = 330 Btu/lb_m V_2 = 0.28 ft^3/lb_m

Explanation / Answer

Compressor work =H2-H1 =330-307=23 Btu/lbm

Now 1 kW-hr =3412.14 Btu

So we have work 23 Btu/lbm

Means for 1 lbm gas compresion requried energy 23 Btu = 23/3412.14 kW-hr =6.74*10-3 kW-hr

So

Energy cost

1 kw-hr =$0.1

6.74*10-3 kW-hr = ?

so $6.74*10-4.

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