To determine the work done during the constant pressure expansion of the air, we can use the formula:

$W = P \Delta V$

where:

• $W$ is the work done,
• $P$ is the constant pressure,
• $\Delta V$ is the change in volume.

Step 1: Converting Pressure to SI Units

Given that the pressure $P = 8$ bar, we first convert this to Pascals (Pa): $8 \, \text{bar} = 8 \times 10^5 \, \text{Pa} = 800{,}000 \, \text{Pa}$

Step 2: Initial Volume Calculation

Since air is assumed to behave as an ideal gas, we can use the ideal gas law to calculate the initial volume, $V_1$, using: $PV = nRT$ or equivalently, $V = \frac{mRT}{P}$ where: