- #1
Repetit
- 128
- 2
Hey!
"Calculate the work done on 1 mole of a perfect gas in an adiabatic quasistatic compression from volume V1 to V2."
The work done on the gas in this compression is:
[tex]
-\int_{V1}^{V2} P dV
[/tex]
Because we are talking about an ideal gas the ideal gas law applies so:
[tex]
P=\frac{nRT}{V}
[/tex]
Inserting this gives
[tex]
-\int_{V1}^{V2} \frac{nRT}{V} dV = nRT Log[\frac{V1}{V2}]
[/tex]
But for some reason this is not the correct result. However, I get the correct result if I use:
[tex]
P V^\gamma = const
[/tex]
What's going on? Why can't I use the ideal gas law?
"Calculate the work done on 1 mole of a perfect gas in an adiabatic quasistatic compression from volume V1 to V2."
The work done on the gas in this compression is:
[tex]
-\int_{V1}^{V2} P dV
[/tex]
Because we are talking about an ideal gas the ideal gas law applies so:
[tex]
P=\frac{nRT}{V}
[/tex]
Inserting this gives
[tex]
-\int_{V1}^{V2} \frac{nRT}{V} dV = nRT Log[\frac{V1}{V2}]
[/tex]
But for some reason this is not the correct result. However, I get the correct result if I use:
[tex]
P V^\gamma = const
[/tex]
What's going on? Why can't I use the ideal gas law?