Answer: V2 = 19 cube inches
The temperature of a gas is constant
The pressure of the gas is inversely proportional to the the volume of the gas
this can be represented mathematically below,
[tex]\begin{gathered} P\text{ }\propto\text{ }\frac{1}{V} \\ P\text{ = }\frac{k}{V} \\ \text{K = PV} \\ \text{K is the proportionality constanst} \end{gathered}[/tex]P1V1 = P2V2
P1 = 16 pounds per square inch
V1 = 76 cube inches
P2 = 64 pounds per square inch
V2=?
16 x 76 = 64 x V2
1, 216 = 64 V2
Isolate V2
V2 = 1216 / 64
V2 = 19 cube inches
