If a sample of 17.3 moles of gas at a pressure of 7.5atm and at a temperature of 306K, what is the volume of the container that the gas is in?

Respuesta :

ANSWER

The volume of the container that the gas is in is 57.9L

EXPLANATION

Given that

The moles of the gas is 17.3 moles

The pressure of the gas is 7.5 atm

The temperature of the gas is 306K

Follow the steps below to find the volume of the container

Step 1; Assume the gas behaves like an ideal gas

[tex]\text{ PV = nRT}[/tex][tex]\begin{gathered} \text{ R is 0.08205 L.atm. mol}^{-1}.K^{-1} \\ \text{ 7.5 }\times\text{ V = 17.3 }\times\text{ 306 }\times\text{ 0.08205} \\ \text{ 7.5V = 434.36} \\ \text{ Divide both sides by 7.5} \\ \text{ }\frac{7.5V}{7.5}\text{ = }\frac{434.36}{7.5} \\ \text{ V = 57.9L} \end{gathered}[/tex]

Therefore, the volume of the container that the gas is in is 57.9L