A bicycle pump takes a volume V of air at atmospheric pressure p 0 and constant temperature

A bicycle pump takes a volume ΔV of air at atmospheric pressure p₀ and constant temperature T₀ and compresses it so that it enters a tyre that has a volume V₀. The air inside the tyre is initially at atmospheric pressure p₀ and can be considered as an ideal gas. Determine the number of times n the user has to pump air into the tyre to reach a pressure p_f. Assume that the pump is designed so that the air in the tyre is always at temperature T₀. 

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Vo = 50 1, AV = 1.21 and pf = 2.5 po.