Question

. One mole of carbon dioxide is compressed adiabatically from 1 bar and 25ºC to 10...

. One mole of carbon dioxide is compressed adiabatically from 1 bar and 25ºC to 10 bar. Due to poor design of the compressor, the work required is 25% more than is theoretically necessary (i.e., a reversible compressor). What is the temperature of the carbon dioxide and how much work is required for the change in state?

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Answer #1

We will first require the value of K to solve this problem

K( for carbon dioxide) = 1.3

1. Outlet temperature of carbon dioxide

T1 = 25 oc = 298.15 k

p1 = 1 bar

P2 = 10 bar

T2 = 507.2289 K

2. work required for an adiabatic process

W = 5794.275 J

now 25 % more than theoretical work is required

Actual work required = 1.25*5794.275 = 7242.84376 Joule

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