1.

The pressure-volume work for an ideal gas can be calculated by using the expression W= - int_(V_i)^( V_f) P_(ex) dV. The work can also be calculated from the pV- plot by using the area under the curve within the specifiedlimits. When an ideal gas is compressed (A) reversibly or (B) irreversibly from volume V_i to V_f. choose the correct option.

Answer»

<P>W (reversible) = W (irreversible)
W (reversible) lt W (irreversible)
W (reversible) gt W (irreversible)
W (reversible) = W (irreversible) `+ P_(ex) . Delta V`

Solution :W (reversible) < W (irreversible) is because area under the CURVE is always more in irreversible compression as can be seen from given figure.

pV-plot when pressure is not constant and CHANGES in finite steps during compression from INITIAL volume, `V_i` to find volume, `V_f`. WORK done on the gas is represented by the shaded area.

pV-plot when pressure is not constant and changes in infinite steps (reversible conditions) during compression from initial volume, `V_i` to final volume, `V_f`. Work done on the gas is represented by the shaded area.


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