Respuesta :
Answer:
The final Volume of the gas in the cylinder [tex]V_{2}[/tex] = 196.84 [tex]in^{3}[/tex]
Explanation:
Given that the volume of a gas in a container varies inversely with the pressure on the gas.
⇒ P ∝ [tex]\frac{1}{V}[/tex]
⇒ P V = constant
[tex]\frac{V_{2} }{V_{1} }[/tex] = [tex]\frac{P_{1} }{P_{2} }[/tex] --------- (1)
Given that [tex]P_{1}[/tex] = 17 [tex]\frac{lb}{in^{2} }[/tex]
[tex]P_{2}[/tex] = 19 [tex]\frac{lb}{in^{2} }[/tex]
[tex]V_{1}[/tex] = 220 [tex]in^{3}[/tex]
⇒ [tex]\frac{V_{2} }{220} = \frac{17}{19}[/tex]
⇒ [tex]V_{2}[/tex] = 196.84 [tex]in^{3}[/tex]
The final Volume of the gas in the cylinder [tex]V_{2}[/tex] = 196.84 [tex]in^{3}[/tex]
