Explain why Boyle's law cannot be used to calculate the volume of a real gas when it is converted from its initial state to final state by an adiabatic expansion.

Explanation

To explain why Boyle's law cannot be used to calculate the volume of a real gas during adiabatic expansion, we need to understand the fundamental principles behind both Boyle's law and adiabatic processes.

### Step-by-Step Solution:

1. **Understanding Boyle's Law**:
Boyle's law states that for a given mass of gas at constant temperature, the pressure (P) of the gas is inversely proportional to its volume (V). Mathematically, it can be expressed as:
\[
PV = k
...