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16 August, 14:56

A bicycle pump contains 20cm3 of air at a pressure of 100kpa the air is then pumped in a single stroke through a valve into a tyre if volume 100cm3 whihc contains air at the same pressure. calculate the pressure of the air in the tyre aftee the stroke assume the tyre volume does not change

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  1. 16 August, 17:10
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    If we assume also that the temperature of the air does not change, we can use Boyle's Law:

    p₁V₁ = p₂V₂

    Now, we know:

    p₁ = 100kPa

    V₂ = 100cm³ (the volume of the tyre)

    V₁ = 120cm³ (becuse the air is contained inside the tyre AND the pump)

    We can solve for p₂:

    p₂ = (p₁V₁) / V₂

    = (100*120) / 100

    = 120kPa

    Therefore your answer is: 120kPa
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