ANSWER
The pressure of the gas is 8.21 atm
EXPLANATION;
Given that;
The volume of the gas is 816 liters
The temperature of the gas is 786 K
The number of moles of the gas is 104 moles
Follow the steps below to find the pressure of the gas
Step 1; Assume the gas behaves like an ideal gas, then, the pressure of the gas can be calculated using the ideal gas equation
[tex]\text{ PV = nRT}[/tex]
Step 2; Substitute the given data into the formula above
[tex]\begin{gathered} \text{ R is 0.08205 L atm mol}^{-1}\text{ K}^{-1} \\ \text{ P }\times\text{ 816 = 104 }\times\text{ 786 }\times\text{ 0.08205} \\ \text{ 816 P = 6707.0952} \\ \text{ Divide both sides by 816} \\ \text{ }\frac{\cancel{816}P}{\cancel{816}}\text{ = }\frac{6707,\text{ 0952}}{816} \\ \text{ P = 8.21 atm} \end{gathered}[/tex]
Hence, the pressure of the gas is 8.21 atm
