Respuesta :
Answer:
418.352441397 Liters
Explanation:
You start off with your equation of PV=nRt, where P= Pressure, V= Volume, n= The amount of moles, R= the gas constant which is 0.0821, and t= The temperature.
You are solving for volume so you would divide the left side by P so you can isolate the Volume. Now you have V=nRt/P.
Next you would fill in all of the variables. n=5.1169, R=0.0821, t=911K, and P=0.9148atm.
You would get the equation V=(5.1169*0.0821*911)/0.9148
Your final answer would be 418.352441397 Liters, or rounded to 418.35 Liters.
The volume of the container is 418.15 L
Ideal gas law
From the question, we are to determine the volume of the container
From the ideal gas equation, we have that
PV = nRT
Where P is the pressure
V is the volume
n is the number of moles
R is the gas constant ( R = 0.08206 L.atm.mol⁻¹.K⁻¹)
and T is the temperature
From the given information
P = 0.9148 atm
n = 5.1169 mol
T = 911 K
Putting the parameters into the formula, we get
0.9148 × V = 5.1169 × 0.08206 × 911
Then,
[tex]V = \frac{5.1169 \times 0.08206 \times 911}{0.9148}[/tex]
V = 418.15 L
Hence, the volume of the container is 418.15 L
Learn more on Ideal gas law here: https://brainly.com/question/25736513