Question

Using Charle's Law and Boyle's Law how can you derive the ideal gas equation.

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Answer 1

Answer:

You can derive this from the Combined Gas Equation (P1V1/T1 = P2V2/T2). Since Boyle's law says it is at constant temperature, the temperatures cancel each other so you are left with P1V1 = P2V2 which is Boyle's Law

Answer 2

Charle's law: The volume of a fixed amount of gas is directly proportional to its absolute temperature at a constant pressure.

V ∝ T

V/T = Constant

Boyle's law: The pressure and volume of a gas are inversely proportional at a constant temperature.

P ∝ 1/V

PV = Constant

Avogadro's hypothesis: At constant temperature and pressure, equal volumes of all gases contain equal number of moles.

V ∝ no. of moles (n)

Combining the laws,

V ∝ nT/P

V = RnT/P (R = gas constant)

PV = nRT (Ideal gas equation)