Question

When air is pumped into an automobile

tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?

Answer 1

The pressure P₂ = 30 pounds when volume is 140 cubic inches

Explanation:

We are given

Pressure P₁ = 35 pounds

Volume V₁ = 120 cubic inches

Volume V₂ = 140 cubic inches

We need to find Pressure P₂

The formula used will be:
`V_1P_1=V_2P_2`

Putting values and finding P₂

`V_1P_1=V_2P_2\\120* 35=140* P_2\\4200=140* P_2\\P_2=(4200)/(140) \\P_2=30 \ pounds`

So, the pressure P₂ = 30 pounds when volume is 140 cubic inches