Question

a sealed syringe contains 23.5 cubic centimeters of neon gas (ne) at a pressure of 25.2 pounds per square inch (psi). the plunger of the syringe is depressed until the gas occupies a volume of 14.5 cubic centimeters. what is the final pressure of the ne 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.

Explanation:

Step1: Identify Boyle's Law formula

$P_1V_1 = P_2V_2$

Step2: Assign values

$P_1 = 25.2$ psi, $V_1=23.5$ cm³, $V_2 = 14.5$ cm³

Step3: Solve for $P_2$

$P_2=\frac{P_1V_1}{V_2}=\frac{25.2\times23.5}{14.5}$
$P_2=\frac{592.2}{14.5}\approx40.8$ psi

Answer:

40.8 psi