In changing the state of a gas adiabatically from an equilibrium state A to another equilibrium state B, an amount of work equal to `22.3J` is done on the system. If the gas is taken from State A to B via a process in which the net heat absorbed by the system is `9.35 cal`., How much is the net work done by the system in the later case? (Take `1 cal.= 4.9J`)

Explanation

When the gas changes state under adiabatic condition `(A to B)`
`Delta Q = 0 rArr Delta U = - Delta W -22.3 J`
Since internal energy of the system is independent of path followed.
`:." "`In second case, `Delta U = - 22.3J`
`Delta Q = 9.35 cm 1 = theta .35 xx 4.2 ) J = 39.27 J`