Posted by niki on Friday, April 22, 2011 at 6:37am.
(a) In an isothermal expansion,
P*V = constant = Po*Vo
P(final)/Po = Vo/V(final)
= 435/1310 = 0.332
Use that and the initial pressure to get the final pressure.
(b) Work done by gas =
Integral of P*dV = (Po*Vo)*Integral dV/V
= Po*Vo ln(1310/435)
Make sure P is in units of Pascals, and Volume in m^3, to get work in Joules.
(c) For adiabatic expansion of a monatomic gas,
P*V^(5/3) = constant = Po*Vo^(5/3)
Pfinal/Po = (0.332)^5/3 = 0.159
(d) Calculate the P*dV integral again, this time using the adiabatic relationship for P(V).
P (V) = [Po*Vo^(5/3)]/V^5/3
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