ADLib

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ADLib

Wrappers __________________________________________________________________________________________

Cool Prop Wrapper Π Prop Π Fluid Prop : Π F Prop F strtoupper Π strtoupper CoolProp_Props1 : Π a b Prop U K Pa kg m 3^/ J kg / J kg K * / mol m 3^/ J mol / J mol K * / 1 T P d h s dmolar hmolar smolar q 29 mat transpose : A U a UnitsOf 1 findrows 12 el : B U b UnitsOf 1 findrows 12 el : Π A a B b Fluid Prop 41 line : Π P1 V1 P2 V2 F Prop Π strtoupper P1 strtoupper V1 P2 strtoupper V2 F strtoupper CoolProp_Props : 41 line

Air in piston-cylinder fitted with stops

Air in piston-cylinder fitted with stops

A piston-cylinder device, with a set of stops on the top, initially contains 3 kg of air at 200 kPa and 27C. Heat is now transferred to the air, and the piston rises until it hits the stops, at which point the volume is twice the initial volume. More heat is transferred until the pressure inside the cylinder also doubles. Determine the work done and the amount of heat transfer for this process. Also show the process on a P-v diagram.

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Data

m 3 kg * :

T 1 el 27 °C * :

P 1 el 200 kPa * :

Fluid Air :

M M Prop : 0.029 kg mol / *

n m M / : 103.5716 mol *

Equations

m ρ V * ≡ M n * ≡

P V * T / const ≡

Q.in W.out - ΔE ≡

W.b N P v int * ≡

V 1 el n R.m * T 1 el P 1 el / * :

K P 1 el V 1 el * T 1 el / :

As IG

V 2 el 2 V 1 el * :

P 2 el P 1 el :

T 2 el P 2 el V 2 el * K / :

V 3 el V 2 el :

P 3 el 2 P 1 el * :

T 3 el P 3 el V 3 el * K / :

V m 3^1.2924 2.5847 2.5847 31 mat

P kPa 20020040031 mat

T °C 27 327.15 927.45 31 mat

As RG

V 1 el m d P 1 el T 1 el Prop / :

V 2 el 2 V 1 el * :

P 2 el P 1 el :

T 2 el T P 2 el m V 2 el / Prop :

Fails - Check for N-O mixture

V 3 el V 2 el :

P 3 el 2 P 1 el * :

T 3 el T P 3 el m V 3 el / Prop :

Energy

u u P T Prop vectorize : kJ kg / 340.1203 561.277 1060.1206 31 mat

ΔE m u 3 el u 1 el - (* :

ΔE kJ 2160.001

W.out 0 P 1 el V 2 el V 1 el - (* + :

0 for the iso-V Process 1-2, PΔV for the iso-P Process 2-3

W.out kJ 258.3161

Q.in W.out ΔE + :

Q.in kJ 2418.3171

Direct call:

P 3 el 4105^* Pa *

T 3 el 1200.6 K *

m V 3 el / 1.1614 kg m 3^/ *

T P 4105^* d 1.1614 Air CoolProp_Props #

d P 4105^* T 1200 Air CoolProp_Props #