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

To solve the problem step by step, we will apply the principles of thermodynamics, particularly focusing on the first law of thermodynamics and the concepts of work and heat transfer.

### Step 1: Understand the Adiabatic Process
In the adiabatic process from state A to state B, no heat is exchanged with the surroundings. Therefore, the heat transfer \( dq = 0 \). The work done on the system is given as \( W_{AB} = -22.3 \, \text{J} \) (negative because work is done on the system).

### Step 2: Apply the First Law of Thermodynamics
The first law of thermodynamics states:
\[
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