What will happen if we do not assume idal gas equation in deriving boyle's and charle's law?

Answer 1

Boyle's and Charles' laws where not derived from the Ideal Gas Equation.

The opposite is true. Boyle's and Charles' laws and a few other laws are used

to derive the Ideal Gas Equation.

Boyle's and Charles' laws are based on the authors observations of the behaviour

of gases. They give a fair prediction at relative low pressures and high

temperatures with respect to the gas Critical Pressure and Temperature.

A real gas at a given pressure and temperature range can show a great deviation from the Ideal Gas, and that would also mean deviation from Boyle's and Charles'

laws.

Now, if what you mean is obtaining a relation between Pressure and Volume at

constant Temperature, and another between Temperature and Volume at constant

Pressure for a real gas, it can be done. But they won't look as simple and nice as

Boyle's and Charles' laws.

Answer 2

If we do not assume the ideal gas equation in deriving Boyle's and Charles's law, we would not be able to accurately describe the relationship between pressure and volume (Boyle's law) or the relationship between volume and temperature (Charles's law) for ideal gases. The ideal gas equation is necessary to account for the behavior of gases under varying conditions of pressure, volume, and temperature.