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n moles of a gas are filled in a container at temperature T. If the gas is slowly and isothermally compressed to half its initial volume, the work done by the atmosphere on the gas is A. `(nRT)/2`B. `-(nRT)/2`C. `nRT(ln 2-1/2)`D. `-nRT//n 2` |
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Answer» Correct Answer - A Work done by atmosphere `P_(atm) DeltaV` `=P_(aim)V/2.....(i)` As, Initially gas in container is in thermodynamic equilibrium with its surroundings. `:. ` pressure inside cylinder `=P_(atm)` & PV=nRT `rArr P_(atm) V=nRT ` or `V=(nRT)/(P_(atm))` Putting in (i) `W=(nRT)/2` |
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