Question

Determine the horsepower required to compress 1 lbm/min of ethylene oxide from 70 oF and 1 atm to 250 psia. The compressor has an efficiency of 75%. The molar heat capacity of ethylene oxide is given by Cp

Answer 1

Complete Question:

Problem 8 Determine the horsepower required to compress 1 lbm/min of ethylene oxide from 70 °F and 1 atm to 250 psia. The compressor has an efficiency of 75%. The molar heat capacity of ethylene oxide is given by

C_p=10.03+0.0184T C_p[=]Btu/lbmole- "F ; T[=] °F C,

Answer:

`P'=0.377hp`

Step-by-step explanation:

From the question we are told that:

Initial Temperature T_1=70 F

Final Temperature
`T_2=250pisa =114.94F`

Efficiency
`E=75\%=0.75`

Generally the equation for Work-done is mathematically given by

`W=\int C_pT`

`W=10.03(114.94-70 )+0.0184((114.94)^2-70^2 )`

`W=527.21btu/ibmole`

`W=11.982btu/ibm`

Generally the equation for Efficiency is mathematically given by

`E=(isotropic Power)/(Actual P')`

`E=(P)/(P')`

Since

Isotropic Power

`P=0.0167*11.982btu/ibm`

`P=0.2btu/s`

Therefore

`P'=(0.2)/(0.75)`

`P'=0266btu/s`

Since

`1btu/s=1.4148hp`

Therefore

`P'=0.377hp`