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## Homework Statement

My book says that the constants a and b are characteristic properties of a gas, and they do not depend on temperature. But i am having trouble understanding it.

## Homework Equations

## The Attempt at a Solution

We know, a = ΔP*V

^{2}/ n

^{2}, but volume is temperature dependent, so how can a be temperature independent? One explanation can be that as V increases then ΔP will decrease, so that the ratio remains constant, but i am not sure.

Similarly as I increase the temperature, volume will increase, hence b decreases, as the gas approaches ideality. Please help me out.