Answer:
[tex]244.29\ in^3[/tex]
Step-by-step explanation:
We apply Boyle's Law that states that pressure and volume for a fixed mass of an ideal gas are exhibit inverse proportionality.
-This law is expressed as:
[tex]\frac{P_1}{P_2}=\frac{V_2}{V_1}[/tex]
where the a the gas' pressure and volume are varied to assess the change in the other variable.
-Volume 2 is therefore calculated as:
[tex]\frac{P_1}{P_2}=\frac{V_1}{V_2}\\\\\\\frac{14}{19}=\frac{180}{V_2}\\\\\\V_2=\frac{180\times 19}{14}\\\\=244.29 \ in^3[/tex]
Hence, the volume if the pressure is increased to 19 pounds per square inch is [tex]244.29\ in^3[/tex]
