When air is pumped into a cycle tyre

Question:

When air is pumped into a cycle tyre the volume and pressure of the air in the tyre both are increased. What about Boyle’s law in this case?

Solution:

PV = P(m/ρ) = constant

P/ ρ = constant

Volume = m/ ρ where m is constant

Therefore, when the air is pumped into the tyre of the cycle, the mass of air increases as the no.of molecules increases. Therefore, Boyle’s law is only applicable when

the mass of the gas remains fixed.

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