the volume of a gas is 0.450 l when its press...
the volume of a gas is 0.450 l when its pressure is 1.00 atm. if the temperature of the gas does not change, what is the pressure when its volume is changed to 2.00 l? use $p_1v_1 = p_2v_2$. 0.225 atm 0.444 atm 2.25 atm 4.44 atm
Answer
# Answer:
A. 0.225 atm
# Explanation:
## Step1: Identify the known values
Given \(P_1 = 1.00\) atm, \(V_1=0.450\) L, \(V_2 = 2.00\) L.
## Step2: Rearrange the formula \(P_1V_1=P_2V_2\) to solve for \(P_2\)
We get \(P_2=\frac{P_1V_1}{V_2}\).
## Step3: Substitute the values into the formula
\(P_2=\frac{1.00\space\text{atm}\times0.450\space\text{L}}{2.00\space\text{L}}\).
## Step4: Calculate the value of \(P_2\)
\(P_2=\frac{0.450}{2.00}\space\text{atm}= 0.225\space\text{atm}\).