Work Done in a polytropic process

[juggalomike]

Homework Statement

A gas is trapped in a cylinder-piston arrangement. The initial pressure and volume are 13,789.5 Pa and 0.02832 m^3. Determine the work(kj) assuming that the volume is increased to 0.08496 m^3 in a polytropic process with n=1.

Homework Equations

m_1-2=∫PdV from 1 to 2

The Attempt at a Solution

I believe the equation for n=1 i would use is P1*V1*ln(V2/V1), however i have to show how i would get that from the intial integral, and i am completely lost as to how i can get there.

Also if this is not the correct forum for this post i am sorry, please let me know and i will
re-post it in the correct location.

 

[NascentOxygen]

The ln term comes about because the integral of 1/x is ln(x).
Search wikibooks for polytropic process.

 

[Andrew Mason]

Homework Statement

A gas is trapped in a cylinder-piston arrangement. The initial pressure and volume are 13,789.5 Pa and 0.02832 m^3. Determine the work(kj) assuming that the volume is increased to 0.08496 m^3 in a polytropic process with n=1.

Homework Equations

m_1-2=∫PdV from 1 to 2

The Attempt at a Solution

I believe the equation for n=1 i would use is P1*V1*ln(V2/V1), however i have to show how i would get that from the intial integral, and i am completely lost as to how i can get there.

Also if this is not the correct forum for this post i am sorry, please let me know and i will
re-post it in the correct location.

Express P as a function of V and integrate. Since n=1 in $PV^n = K$, this is rather simple.

AM

 

[juggalomike]

Express P as a function of V and integrate. Since n=1 in $PV^n = K$, this is rather simple.

AM

Thanks a lot, knew it wasn't a hard question was just stuck on the sub part.