Question

Boyle's Law states that the volume of a fixed amount of gas (at constant temperature) is inversely proportional to the pressure of the gas. A pressure of 46 pounds per square inch (psi) has a volume of 360 cubic feet. What is the particular equation that represents the problem situation?

Answer 1

Explanation:

According to Boyle's law,

`$ V \propto (1)/(P) $`

or
`$ V = (k)/(P) $` , where k is the proportionality constant

Given that volume is 360 cubic feet and the pressure is 46 psi.

Therefore, replacing V with 360 cubic feet and P with 46 psi in the above equation gives

`$ 360 = (k)/(46) $`

(360)(46) = k

k = 16560