One litre of an ideal gas at a pressure of 6 atm undergoes an adiabatic expansion until its pressure drops to one atmosphere and volume increases to 2 litre. Find the word done during the process. `[ gamma = 1.4].`

Explanation

To find the work done during the adiabatic expansion of an ideal gas, we can use the formula for work done in an adiabatic process:

\[ W = \frac{1}{\gamma - 1} (P_1 V_1 - P_2 V_2) \]

where:
- \( W \) = work done
- \( P_1 \) = initial pressure
- \( V_1 \) = initial volume
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