Question

a sealed syringe contains 47.0 milliliters of nitrous oxide gas (n₂o) at a pressure of 122 kilopascals (kpa). the plunger of the syringe is depressed until the gas occupies a volume of 23.0 milliliters. what is the final pressure of the n₂o 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 known values

$P_1 = 122$ kPa, $V_1=47.0$ mL, $V_2 = 23.0$ mL

Step3: Solve for $P_2$

$P_2=\frac{P_1V_1}{V_2}=\frac{122\times47.0}{23.0}$
$P_2=\frac{5734}{23.0}\approx249$ kPa

Answer:

249 kPa