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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

Option: 1


Option: 2


Option: 3


Option: 4

more or less depending on the initial temperature of the gas

Answers (1)


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.

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