The volume `V` of a gas varies inversely as pressure `P` is exerted. If `V` = 4 when `P`= 3.5 atmospheres find `V`when`P` = 2.5 atmospheres. Round to the nearest hundredth.
To find the relationship between volume `V` and pressure `P` when they vary inversely, we use the formula:
V1 * P1 = V2 * P2
Given that V1 = 4, P1 = 3.5, and P2 = 2.5, we can rearrange the formula to solve for V2:
V2 = V1 * P1 / P2
V2 = 4 * 3.5 / 2.5
V2 = 14 / 2.5
V2 = 5.6
Therefore, when `P` = 2.5 atmospheres, the volume `V` is 5.6.