An ideal gas at an initial pressure of (25 mathrm{~atm}) and (315 mathrm{~K}) occupies a volume of

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An ideal gas at an initial pressure of \(25 \mathrm{~atm}\) and \(315 \mathrm{~K}\) occupies a volume of \(2 \mathrm{~L}\). Determine the entropy of the system for a reversible isothermal expansion of an ideal gas to a final volume of \(10 \mathrm{~L}\).

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