Answer :
Final answer:
To determine the work done by a gas during an expansion process, we can use the formula 'Work = Area under the Pressure-Volume (PV) curve'. By approximating the area under the curve using rectangular areas, we can calculate the work done between each pair of pressure and volume values. Summing up all these individual works gives us the total work done by the gas.
Explanation:
The work done by a gas during an expansion process can be determined using the formula:
Work = Area under the Pressure-Volume (PV) curve
To find the work, we can approximate the area under the curve by dividing it into a series of rectangular areas. For each pair of pressure and volume values,
we can calculate the work done as the product of the pressure difference and the change in volume. Then, we sum up all the individual works to find the total work done.
In this case, we have:
- Work done between 300 kPa and 290 kPa = (300 kPa - 290 kPa) * (1.1 L - 1 L)
- Work done between 290 kPa and 270 kPa = (290 kPa - 270 kPa) * (1.2 L - 1.1 L)
- Work done between 270 kPa and 250 kPa = (270 kPa - 250 kPa) * (1.4 L - 1.2 L)
- Work done between 250 kPa and 220 kPa = (250 kPa - 220 kPa) * (1.7 L - 1.4 L)
- Work done between 220 kPa and 200 kPa = (220 kPa - 200 kPa) * (2 L - 1.7 L)
Add up all of these individual works to find the total work done by the gas during the expansion process.
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