Answer:
The pressure of the air in the tyre is 20 kPa
Explanation:
The parameters for the bicycle pump and tyre are;
The volume of air contained in the bicycle pump, V₁ = 20 cm³
The pressure of the air contained in the bicycle pump, P₁ = 100 kPa
The volume (available) of the tyre, where the air is pumped, V₂ = 100 cm³
Let P₂ represent the pressure in the tyre after the air is pumped
By Boyle's law, we have that at constant temperature, the volume of a given mass of gas is inversely proportional to its pressure;
Mathematically, Boyle's law gives the following equation;
P₁ × V₁ = P₂ × V₂
∴ P₂ = (P₁ × V₁)/V₂
Substituting the known values gives;
P₂ = (100 kPa × 20 cm³)/(100 cm³)
∴ P₂ = 100 kPa × 1/5 = 20 kPa
P₂ = 20 kPa
The pressure of the air in the tyre = P₂ = 20 kPa.
