378 πππ of air is isothermally compressed at 27β and 1379 ππππ; π2 = 4136 ππππ. For both nonflow and steady-flow (π1 = 23 π π , π2 = 46 π π , βπ = 0) processes, compute (a) β« πππ πππ β β« πππ (b) βπ, βπ», πππ βπ (c) π πππ π
a)
"\\int pdV =1379\\cdot 10^3\\displaystyle{\\int^{46}_{23}}dV=1379\\cdot 10^3\\cdot 23=31717\\cdot 10^3" J
"\\int Vdp =378\\displaystyle{\\int^{4136}_{1379}}dp=378\\cdot 2757=1042146" J
b)
"\\Delta U=Q-W=0"
for non-flow:
"\\Delta H=V\\Delta p=1042146" J
for steady-flow:
"\\Delta H=p\\Delta V=31717\\cdot 10^3" J
"\\Delta S=Q\/T"
"T=27-273=-246" K
for non-flow:
"Q=\\int pdV=31717\\cdot 10^3" J
"\\Delta S=-31717\\cdot 10^3\/246=-129" J
for steady-flow:
"Q=\\int Vdp =1042146" J
"\\Delta S=-1042146\/246=-4236" J
c)
for non-flow:
"Q=W=\\int pdV=31717\\cdot 10^3" J
for steady-flow:
"Q=W=\\int Vdp=1042146" J
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