Polytropic Process of an Ideal Gas
Polytropic Process of an Ideal Gas
Polytropic Process of an Ideal Gas
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>Ideal</strong> <strong>Gas</strong> <strong>Polytropic</strong> <strong>Process</strong><br />
From<br />
p<br />
p<br />
2<br />
1<br />
=<br />
⎛ V<br />
⎜<br />
⎝V<br />
1<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
n<br />
p 1 V 1 =nRT 1 <strong>an</strong>d p 2 V 2 =nRT 2<br />
we get<br />
p<br />
p<br />
2<br />
1<br />
=<br />
⎛<br />
⎜<br />
⎝<br />
nRT<br />
nRT<br />
1<br />
2<br />
/<br />
/<br />
p<br />
p<br />
1<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
n<br />
=<br />
⎛ T<br />
⎜<br />
⎝ T<br />
1<br />
2<br />
p<br />
p<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
n<br />
=<br />
⎛<br />
⎜<br />
⎝<br />
p<br />
p<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
n<br />
⎛ T<br />
⎜<br />
⎝ T<br />
1<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
n<br />
or<br />
T<br />
T<br />
1<br />
2<br />
=<br />
⎛<br />
⎜<br />
⎝<br />
p<br />
p<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
1−n<br />
n<br />
or<br />
T<br />
T<br />
2<br />
1<br />
=<br />
⎛<br />
⎜<br />
⎝<br />
p<br />
p<br />
2<br />
1<br />
⎞<br />
⎟<br />
⎠<br />
n−1<br />
n<br />
Similarly:<br />
T<br />
T<br />
2<br />
1<br />
=<br />
⎛ V<br />
⎜<br />
⎝V<br />
1<br />
2<br />
⎞<br />
⎟<br />
⎠<br />
n−1
Change language