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The initial state of a certain gas is P...

The initial state of a certain gas is `P_(i)V_(i), T_(i))` . It undergoes expansion till its volume becomes `V_(f)` Consider the following two cases.
(a) The expansion takes place at constant temperature.
(b) The expansion takes place at constant pressure.
Plot the P-V diagram for each case. In which of the two cases, is the work done by the gas more ?

Text Solution

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The P-V diagram for each case is shown in the figure. In case (i) `P_(i)V_(i)=P_(f)V_(f)` : therefore process is isothermal. Work done = area under the PV curve so work done is more when the gas expands at constant pressure.
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