Heat & Work in Int Rev, Polytropic Processes

The answer depends on
the value of δ.
How much the value of δ.
boundary work
, in kJ/kg, does it take to increase the pressure on anideal gas
in a closed system from 200 kPa to 400 kPa in aninternally reversible
,polytropic
process ? Assume the specific heats are constant.





Roll the mouse pointer over the big yellow circles to see more information about each process path.


Heat Capacity Ratio
γ = 1.3985
δ = 0.75
Internally reversible processes in which
δ < 1 require even more work than an
isothermal
process because they must reject extra heat in order to cool the system down.
δ = 1.0 < γ
Internally reversible processes in which
δ < γ require more work than an isentropic process and as a result must reject some heat.
: Isothermal

δ = 1.2 < γ
Internally reversible processes in which
δ < γ require even more work than an
isentropic
process and as a result must reject some heat.
δ = γ = 1.3985
This path represents an
internally reversible
,adiabatic
process. Theisentropic
process requires the least work of any process that is strictly a compression (no heat added).: Isentropic

δ = 2 > γ
The increase in pressure is caused both by
boundary work
and by the addition ofheat
to the system.
δ = ∞ > γ
The increase in pressure is caused only by the addition of
heat
to the system.: Isochoric

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