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Q.Deduce Boyle's law using the expression for pressure exerted by the gas.

Maharashtra MsbshseMaharashtra HSC (MSBSHSE) Board 2020Subjective· 2mImportance★★★★★
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Kinetic theory gives PV = (1/3)M⟨c²⟩; at fixed T, mean-square speed is fixed, so PV stays constant.

From kinetic theory, the pressure exerted by a gas is P=13MV⟨c2⟩P = \dfrac{1}{3}\dfrac{M}{V}\langle c^2\rangle, where MM is the total mass of gas, VV its volume, and ⟨c2⟩\langle c^2\rangle the mean square speed of molecules. This gives:

PV=13M⟨c2⟩PV = \frac{1}{3}M\langle c^2\rangle …

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