Answer:
The new volume of the car tire is approximately 11.784 litres
Explanation:
The initial pressure of the air in the car tire, P₁ = 2.18 atm
The volume occupied by the air in the tire, V₁ = 10.0 L
The new pressure of the air in the tire, P₂ = 1.85 atm.
According to Boyle's Law, we have;
P₁·V₁ = P₂·V₂
Where;
P₁ = The initial pressure of the car tire = 2.18 atm
V₁ - The initial volume of the tire = 10.0 L
P₂ = The new pressure of the tire = 1.85 atm
V₂ = The new volume of the car tire = The required volume
Therefore;
[tex]V_2 = \dfrac{P_1 \cdot V_1}{P_2}[/tex]
Plugging in the values gives;
[tex]V_2 = \dfrac{2.18 \ atm \times 10.0 \ L}{1.85 \ atm} = \dfrac{436}{37} \ L \approx 11.784 \, L[/tex]
The new volume of the car tire, V₂ ≈ 11.784 L.
