Question

your car tire is filled with air at a pressure of 2.18 atm and have a volume of 10.0L. After riding around for a couple month,your tire pressure goes down to 1.85 atm. what is new volume of your tire

Answer 1

The new volume of the car tire is approximately 11.784 litres

Step-by-step 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;

`V_2 = (P_1 \cdot V_1)/(P_2)`

Plugging in the values gives;

`V_2 = (2.18 \ atm * 10.0 \ L)/(1.85 \ atm) = (436)/(37) \ L \approx 11.784 \, L`

The new volume of the car tire, V₂ ≈ 11.784 L.