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The relation between the internal energy U, and pressure P, and volume V of a gas in an adiabatic process is U=a+bPV, where a and b are positive constants. what is the value of gama?
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The relation between the internal energy U, and pressure P, and volume...
In an adiabatic process, No heat is exchangeddQ=dU+PdV0=dU+PdV d(a+bPV)+PdV=0bPdV+bVdP+PdV=0(b+1)PdV+bVdP=0(b+1)(dV/V) +b(dP/P) = 0 Integrating we get(b+1)logV +b(logP)=constant logV(b+1) +logPb=constantlog (V(b+1)xPb)= constantV(b+1)xPb=constantdivide by Vb and p(b-1) on both sides PV((b+1)/b)= constant=PVr r=((b+1)/b)
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The relation between the internal energy U, and pressure P, and volume V of a gas in an adiabatic process is U=a+bPV, where a and b are positive constants. what is the value of gama?
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