- #1

stratz

- 23

- 0

## Homework Statement

Proving PV^gamma = constant In adiabatic expansion. Q = 0

## Homework Equations

N/A

## The Attempt at a Solution

ΔE

_{int}= W

nCvdT = PdV = nRT / V dV

∫Cv/T dT = ∫R/V dV

Cv ln(T2/T1) = R ln(V2/V1)

ln(T2/T1) = (R/Cv) ln(V2/V1)

T2/T1 = (V2/V1)

^{R⋅gamma / Cp}

P2V2 / P1V1 = (V2/V1)

^{R⋅gamma / Cp}

I did some extra rearranging after this point, but it appears that the equation in this form cannot get PV^gamma = constant or for P1V1^gamma = P2V2^gamma. Is there a mistake somewhere?

Thanks.

Last edited: