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djaymilla
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An ideal gas originally at a temperature T1 and pressure P1 is compressed recersibly against a poston to a volume equal one-half of its original volume. The temperature of the gas is caried during the compression so that at each instant the relatoion P=AV is satisfied, where A is constant. Find the word done on the gas in terms of n, R, and T1.
PV=nRT
P=AV
AV^2=RT
dW= -PdV
W= - (integral from V1 to V2) PdV
I have the answer: [-3nRT1/8] but I cannot figure out how it is derived. I have tried using the work equation for an isothermal equation as well: W=nRT (integral from V1 to V2) dV/V where W=nRT ln (V2/V1)
PV=nRT
P=AV
AV^2=RT
dW= -PdV
W= - (integral from V1 to V2) PdV
I have the answer: [-3nRT1/8] but I cannot figure out how it is derived. I have tried using the work equation for an isothermal equation as well: W=nRT (integral from V1 to V2) dV/V where W=nRT ln (V2/V1)