In a cylinder, 2.0 moles of an ideal monatomic gas initially at `1.0 xx 10^(6)` Pa and 300 K expands until its volume doulbles. Compute the work done if the expansion is (a) isothermal, (b) adiabatic and (c ) isobaric.

Explanation

To solve the problem step by step, we will calculate the work done during the expansion of an ideal monatomic gas in three different scenarios: isothermal, adiabatic, and isobaric.

### Given Data:
- Number of moles (n) = 2.0 moles
- Initial Pressure (P₀) = \(1.0 \times 10^6\) Pa
- Initial Temperature (T₀) = 300 K
- Final Volume (V₂) = 2 × Initial Volume (V₀)

...