Deduce Boyle’s law on the basis of kinetic theory of gases.

Solution

Boyle's law states that, keeping temperature constant, pressure of a given mass of gas varies inversely with volume.

According to kinetic theory of gases, pressure of an ideal gas is given by,

P = \frac{1}{3} {ρv}^{2} = \frac{1}{3} \frac{M}{V} v^{2}

[

∵

ρ = \frac{M}{V}

]

So,

PV = \frac{1}{3} {Mv}^{2}

According to kinetic interpretation of temperature,

v^{2} \propto T

If temperature is constant then,

PV = constant

This proves the Boyle's law.

Some More Questions From Mechanical Properties of Fluids Chapter

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Mechanical Properties Of Fluids

Deduce Boyle’s law on the basis of kinetic theory of gases.

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