One mole of a certain ideal gas is contained under a weightless piston of a vertical cylinder at...

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One mole of a certain ideal gas is contained under a weightless piston of a vertical cylinder at a temperature \( T \). The space over the piston opens into the atmosphere. What work has to be performed in order to increase isothermally the gas volume under the piston \( n \) times by slowly raising the piston? The friction of the piston against the cylinder walls is negligibly small.
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