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Work is the mode of transference of energy. If the system involves gaseous substance and there is difference of pressure between system and surroundings, such a work is referred to as pressure - volume work `(W_(PV)= -P_(ext)DeltaV)`. It has been observed that reversible work done by the system is the maximum obtainable work. `w_(rev) gt w_(ir r)`
The works of isothermal and adiabatic processes are different from each other. for isothermal reversible proces,
`W_("isothermal reversible")=2.303 nRT log_(10) (V_(2)/V_(1))`
`W_("adiabatic reversible")=C_(V) (T_(1)-T_(2))`
Calculate work done when 1 mole of an ideal gas is expanded reversibly from 20 L to 40 L at a constant temperature of 300 K.
A. 7.78kJ
B. `-1.73kJ`
C. `11.73kJ`
D. `-4.78kJ`

1 Answer

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Best answer
Correct Answer - B
`w=-2.303nRT" "log((P_(1))/(P_(2)))`
`=-2.303xx1xx8.314xx273" "log((1)/(0.1))`
`=-5.227kJ`
`q=-w=+5.227kJ` for isothermal process.

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