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April 20, 2014

April 20, 2014

Posted by **niki** on Friday, April 22, 2011 at 6:37am.

- physics -
**drwls**, Friday, April 22, 2011 at 7:01am(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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