Question

explain how charles law, gay-lussac law, and boyle's law can be combined to give the ideal gas law if the resulting constant of proportionality is equal to Nk

Answer 1

Charles' Law

Statement

For a fixed mass of gas at constant pressure, the volume is directly proportional to the kelvin temperature.

we can express this mathematically as

V = constant x T ... (1)

Gay -lussac Law

Statement

For a fixed mass of gas at constant volume, the pressure is directly proportional to the kelvin temperature.

We can express this mathematically as

P = constant x T ...(2)

Boyle's Law

Statement

For a fixed mass of gas at constant temperature, the volume is inversely proportional to the pressure

We can express this mathematically as

PV = constant ...(3)

From (1),(2) and (3) equations

Ideal gas equation PV =nRT

n/N = k/R

PV =NkT