Obtain heat q, work w, and the change of the internal energy U during the follow
ID: 1076992 • Letter: O
Question
Obtain heat q, work w, and the change of the internal energy U during the following processes for one mole of helium-gas system. The gas can be regarded as an ideal gas. You can use the gas constant R if necessary.
(a) a reversible isothermal expension: (P1,V1,T1)(P2,V2,T1)
(b) a reversible adiabatic expansion: (P2,V2,T1)(P3,V3,T2)
obtain heat q, work w and the change of the internal energy AU during the following processes for one mole of helium gas system. The gas can be regarded as an ideal gas. You can use the gas constant R if necessary, a reversible isothermal expansion: (P.,,T)(Roy,T), b) a reversible adiabatic expansion: (Pv½,%)-(rv.T2).Explanation / Answer
a) first one is isothermal expansion from P1,V1,T1 to P2, V2 and T1, since the gas is ideal, the change in internal energy for isothermal process for an ideal gas is zero.
b) Reversible adiabatic expansion from P2,V2, T1 to P3,V3, T2
for adiabatic expansion, Q=0 and first law of thermodynamics can be written as
deltaU= W+Q becomes, deltaU= W = R*(T2-T1)/(Y-1)
where Y= CP/CV, where Cp = specific heat constant pressure and CV= specific heat at constant volume.
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