Question

The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 220 cubic inches under a pressure of 17 pounds per square inch, what will be its volume if the pressure is increased to 19 pounds per square inch? (Round off your answer to the nearest cubic inch.)

Answer 1

Answer:

The final Volume of the gas in the cylinder  $V_{2}$ = 196.84 $in^{3}$

Explanation:

Given that the volume of a gas in a container varies inversely with the pressure on the gas.

⇒ P ∝ $\frac{1}{V}$

⇒ P V = constant

$\frac{V_{2} }{V_{1} }$ = $\frac{P_{1} }{P_{2} }$  --------- (1)

Given that $P_{1}$ = 17 $\frac{lb}{in^{2} }$

$P_{2}$ = 19 $\frac{lb}{in^{2} }$

$V_{1}$ = 220 $in^{3}$

⇒ $\frac{V_{2} }{220} = \frac{17}{19}$

⇒ $V_{2}$ = 196.84 $in^{3}$

The final Volume of the gas in the cylinder  $V_{2}$ = 196.84 $in^{3}$