Question

a sealed syringe contains 15.3 cubic centimeters of carbon dioxide gas (co₂) at a pressure of 14.2 pounds per square inch (psi). the plunger of the syringe is pulled back until the pressure inside the syringe is 13.3 pounds per square inch. what is the final volume of the co₂ gas in the syringe? assume ideal gas behavior and a constant temperature. write your answer to the correct number of significant figures. round if necessary. cubic centimeters

Explanation:

Step1: Identify Boyle's Law formula

$P_1V_1 = P_2V_2$

Step2: Assign values

$P_1=14.2$ psi, $V_1 = 15.3$ cm³, $P_2=13.3$ psi, $V_2$ is unknown.

Step3: Solve for $V_2$

$V_2=\frac{P_1V_1}{P_2}=\frac{14.2\times15.3}{13.3}$
$V_2=\frac{217.26}{13.3}\approx16.3$ cm³

Answer:

16.3