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  • A sample of perfect gas is compressed isothermally to half its volume. If it is compressed adiabatically to the same volume, the final pressure of the gas will be

A sample of perfect gas is compressed isothermally to half its volume. If it is compressed adiabatically to the same volume, the final pressure of the gas will be

Option: 1

 more


Option: 2

less


Option: 3

same


Option: 4

more or less depending on the initial temperature of the gas


Answers (1)

best_answer

For isothermal compression, \mathrm{p_{2}=\frac{p V_{1}}{V_{2}}}

For adiabatic compression, \mathrm{p_{2}=p_{1}\left(\frac{V_{1}}{V_{2}}\right)^{\gamma}}

Since, \mathrm{\gamma=\frac{C_{p}}{C_{V}}>1}, hence \mathrm{p_{2}} will be more as compared to that of isothermal compression.

Posted by

Rakesh

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