# polytropic polytropic, Exercises for Environmental Law and Policy

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polytropic

P1 V1 T1

State 1

P2 V2 T2

State 2

P V n

constant

Polytropic process

We have a total of 7 unknowns. 3 in state 1, 3 in state 2, and n, the polytrpoic process exponent. If given any 5 out of these 7, then the remaining 2 can be found. For example, if we know T1, P1, V1, n, P2, then we can find V2, and T2

Polytrpoic process by Nasser Abbasi polytropic.vsd August 2004

n=0 const P

n constant VP

v

n=1, const T

engineering equipments

engineering equipments

Initial

state

point

n=1 const T

T

s

n=0, const P

Initial

state

point

n=k const S

Clock wise, n=0,1,k,infinity

Clock wise, n=0,1,k,infinity

n constant V

engineering equipments

engineering equipments

Heat OUT processes

Heat IN processes

Heat IN processes

Heat OUT processes

Process lines to left of adiabatic line means negative Q (i.e. heat OUT), on the right are positive Q (i.e. heat IN) process