An ideal gas is enclosed in a cylinder with a movable piston on top of it. The piston has a mass of 800 g and an area of `5.00 cm^(2)` and is free slide up and down, keeping the pressure of the gas constant. How much work is done on the gas as the temperature of 0.200 mol of the gas is raised from `20.0^(@)C` to `300^(@)C` ?

Explanation

To solve the problem, we need to calculate the work done on the gas as its temperature is raised at constant pressure. Here’s a step-by-step solution:

### Step 1: Identify the given values
- Mass of the piston, \( m = 800 \, \text{g} = 0.800 \, \text{kg} \)
- Area of the piston, \( A = 5.00 \, \text{cm}^2 = 5.00 \times 10^{-4} \, \text{m}^2 \)
- Number of moles of gas, \( n = 0.200 \, \text{mol} \)
- Initial temperature, \( T_i = 20.0 \, ^\circ C = 293.15 \, \text{K} \)
- Final temperature, \( T_f = 300.0 \, ^\circ C = 573.15 \, \text{K} \)
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