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An ideal gas exists in a state with pressure \({\mathrm{P}}_{0}\), volume \({\mathrm{V}}_{0}\).It is isothermally expand…

Q1

An ideal gas exists in a state with pressure \({\mathrm{P}}_{0}\), volume \({\mathrm{V}}_{0}\).It is isothermally expanded to 4 times of its initial volume \(\left({\mathrm{V}}_{0}\right)\), then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is :

a

\({\mathrm{P}}_{0}{\mathrm{V}}_{0}(2\ln 2-0.75)\)

b

\({\mathrm{P}}_{0}{\mathrm{V}}_{0}(\ln 2-0.75)\)

c

\({\mathrm{P}}_{0}{\mathrm{V}}_{0}(\ln 2-0.25)\)

d

\({\mathrm{P}}_{0}{\mathrm{V}}_{0}(2\ln 2-0.25)\)

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