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9 June, 06:36

Determine the volume of atmospheric air (at 14 lb/in.^2) needed to fill your bike tires (assuming it holds 500 mL of air) to the pressure recommended by the manufacturer (70 lb/in.^2)

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  1. 9 June, 07:02
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    Boyle Law says "the pressure of fixed amount of ideal gas which is at constant temperature is inversely proportional to its volume".

    P = 1/V

    Where, P is pressure of the ideal gas and V is volume of the ideal gas.

    For two situations, this law can be added as;

    P ₁V₁ = P₂V₂

    14 lb/in² x V₁ = 70 lb/in² x 500 mL

    V₁ = 2500 mL

    Hence, the needed volume of atmospheric air = 2500 mL

    Here, we made two assumptions. They are,

    1. The atmospheric air acts as ideal gas.

    2. Temperature is a constant.

    We didn't convert the units to SI units since converting volume and pressure are products of two numbers, they will cut off.
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