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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 :

Step-by-step explanation:

According to Boyle's law,

[tex]$ V \propto \frac{1}{P} $[/tex]

or  [tex]$ V = \frac{k}{P} $[/tex]     , 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

[tex]$ 360 = \frac{k}{46} $[/tex]

(360)(46) = k

k = 16560

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