An ideal gas undergoes a cyclic process as shown. Part of the process ab is isothermal expansion and work done by the gas in this expansion is 700 J. in adiabatic expansion be it again does 400 J work. If it rejects 100 J heat when it returns to a from c via b then find efficiency of the cycle.

Explanation

To find the efficiency of the cyclic process of the ideal gas, we need to analyze the work done and heat exchanged in each part of the cycle. Here’s a step-by-step breakdown of the solution:

### Step 1: Identify the Work Done in Each Process
- **Process AB (Isothermal Expansion)**: The work done by the gas is given as \( W_{AB} = 700 \, \text{J} \).
- **Process BC (Adiabatic Expansion)**: The work done by the gas is given as \( W_{BC} = 400 \, \text{J} \).
- **Process CA (Heat Rejection)**: The heat rejected by the gas is \( Q_{CA} = -100 \, \text{J} \).

### Step 2: Determine the Heat Transfer in Each Process
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