I mole of an ideal monoatomic gas is expanded till the temperature of the gas is doubled under the process `V^(2)T=contant`. The initial temperature of the gas is `400K`. In terms of `R` find total work done in the process.

Explanation

To solve the problem step-by-step, we will follow the outlined process to find the total work done during the expansion of 1 mole of an ideal monoatomic gas under the given conditions.

### Step 1: Identify Initial and Final Temperatures
The initial temperature \( T_i \) is given as \( 400 \, K \). Since the temperature is doubled during the process, the final temperature \( T_f \) will be:
\[ T_f = 2 \times T_i = 2 \times 400 \, K = 800 \, K \]

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