Question

An ideal gas undergoes a cyclic transformation starting from the point $A$ and coming back to the same point by tracing the path $A \to B \to C \to A$ as shown in the diagram. The total work done in the process is \\_\\_\\_\\_ J.

Answer 1

The work done by an ideal gas in a cyclic process can be calculated by finding the area enclosed in the P-V diagram.

For the given P-V diagram:

$W = \frac{1}{2} \times (30 - 10) \times (30 - 10) = 200 \, \text{kPa} \cdot \text{dm}^3$

Converting units:

$W = 200 \times 1000 \, \text{Pa} \cdot \text{L-bar} = 200 \, \text{J}$