a sealed syringe contains 11.02 cubic centime...
a sealed syringe contains 11.02 cubic centimeters of argon gas (ar). the plunger of the syringe is pulled back until the pressure and volume of ar are 12.48 pounds per square inch (psi) and 33.44 cubic centimeters, respectively. what was the initial pressure of the ar gas in the syringe before the plunger was pulled back? assume ideal gas behavior and a constant temperature.\nwrite your answer to the correct number of significant figures. round if necessary.\npsi
Answer
# Explanation:
## Step1: Identify the relevant gas - law
Since the temperature is constant and we have pressure and volume data, we use Boyle's Law $P_1V_1 = P_2V_2$.
## Step2: Rearrange the formula to solve for $P_1$
$P_1=\frac{P_2V_2}{V_1}$.
## Step3: Substitute the given values
We know that $V_1 = 11.02\ cm^3$, $P_2=12.48\ psi$, and $V_2 = 33.44\ cm^3$.
$P_1=\frac{12.48\times33.44}{11.02}$.
## Step4: Calculate the value of $P_1$
$P_1=\frac{417.3312}{11.02}=37.87\ psi$.
# Answer:
$37.9\ psi$