Question

a sample of nitrous oxide (n₂o) at a pressure of 5.9 atmospheres (atm) expands inside a rigid cylinder with a moveable piston. after expansion, the pressure and volume of the n₂o gas are 2.2 atmospheres and 5.0 liters, respectively. what was the initial volume of the n₂o gas in the cylinder? 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

$P_1 = 5.9$ atm, $P_2=2.2$ atm, $V_2 = 5.0$ L, and we need to find $V_1$.

Step3: Rearrange the formula to solve for $V_1$

$V_1=\frac{P_2V_2}{P_1}$

Step4: Substitute values and calculate

$V_1=\frac{2.2\times5.0}{5.9}=\frac{11}{5.9}\approx1.9$ L

Answer:

1.9 liters