ANSWER
EXPLANATION
Given that;
The number of moles of the gas is 7.7 moles
The pressure of the gas is 0.09 atm
The temperature of the gas is 56 degrees Celcius
Follow the steps below to find the volume of the gas in the container
Step 1; Convert the temperature to degrees Kelvin
[tex]\text{ T K = t}\degree C\text{ + 273.15}[/tex][tex]\begin{gathered} \text{ T K = 56 + 273.15} \\ \text{ T K = 329.15K} \end{gathered}[/tex]Step 2; Apply the ideal gas equation
[tex]\text{ PV = nRT}[/tex][tex]\begin{gathered} \text{ Recall, that R = 0.08205 L atm mol}^{-1}K^{-1} \\ \text{ 0.09 }\times\text{ V = 7.7 }\times\text{ 0.08205 }\times\text{ 329.15} \\ \text{ 0.09V = 207.95} \\ \text{ Divide both sides by 0.09} \\ \text{ V = }\frac{\text{ 207.95}}{\text{ 0.09}} \\ \text{ V = 2310.58 Liters} \end{gathered}[/tex]Therefore, the volume of the container is 2310.58 liters
