One mole of a gas is put under a weightless piston of a vertical cy...

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One mole of a gas is put under a weightless piston of a vertical cylinder at temperature \( T \). The space over the piston
\( \mathrm{P} \) opens into atmosphere. How much work should be performed to increase isothermally the volume under the piston to twice
W the volume (neglect friction of piston)?
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