State true or false. Work done by an ideal gas in adiabatic expansion is less than that in isothermal process (for same temperature range)

Explanation

To determine whether the statement "Work done by an ideal gas in adiabatic expansion is less than that in isothermal process (for the same temperature range)" is true or false, we can analyze the work done in both processes.

### Step-by-Step Solution:

1. **Understanding the Processes**:
- **Isothermal Process**: In this process, the temperature remains constant. For an ideal gas, the relationship between pressure (P), volume (V), and temperature (T) is given by the ideal gas law: \( PV = nRT \). The work done (W) during an isothermal expansion can be calculated using the formula:
\[
W_{\text{isothermal}} = nRT \ln\left(\frac{V_f}{V_i}\right)
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