Asked by sarah
A sample of monatomic gas (£^ = 5/3) is expanded adiabatically from an initial temperature, volume, and pressure of 230. ¢XC, 6.00 litres, and 5.00 kPa, respectively, to a final volume of 7.00 litres.
(a) What is the final pressure of the gas?
(b) How much work is done by the gas during the adiabatic expansion?
(a) What is the final pressure of the gas?
(b) How much work is done by the gas during the adiabatic expansion?
Answers
Answered by
Savannah
dude i have no idea!
Answered by
drwls
(a) During the expansion, the product
P*V^(5/3) remains constant. You know the ratio V2/V1. Use the adiabatic relationship to calculate P2/P1.
P2/P1 = (V1/V2)^(5/3)
= (6/7)^(5/3) = 0.773
(2) The work done is the integral of P dV from V1 to V2. Express P as a function of V and integrate
P(V) dV = [P1*V1^(5/3)]*/V^5/3)]dV
P*V^(5/3) remains constant. You know the ratio V2/V1. Use the adiabatic relationship to calculate P2/P1.
P2/P1 = (V1/V2)^(5/3)
= (6/7)^(5/3) = 0.773
(2) The work done is the integral of P dV from V1 to V2. Express P as a function of V and integrate
P(V) dV = [P1*V1^(5/3)]*/V^5/3)]dV
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