Respuesta :
ANSWER
The final volume of the gas is 2.8 liters
EXPLANATION
Given that;
The initial volume of the gas is 2.3 liters
The initial temperature of the gas is 540K
The initial pressure of the gas is 8.2 atm
The final temperature of the gas is 310K
The final pressure of the gas is 3.8 atm
Follow the steps below to find the final volume of the gas
Step 1; Apply the general gas law equation
[tex]\text{ }\frac{P1V1}{T1}\text{ }=\text{ }\frac{P2\text{ V2}}{T2}[/tex]Where
• P1 is the initial pressure
,• V1 is the initial volume
,• T1 is the initial temperature
,• P2 is the final pressure
,• T2 is the final temperature
,• V2 is the final volume
Step 2; substitute the given data into the formula in step 1 to find the final volume of the gas
[tex]\begin{gathered} \text{ }\frac{8.2\times\text{ 2.3}}{540}\text{ }=\text{ }\frac{3.8\times V2}{310} \\ \text{ cross multiply} \\ \text{ 3.8}\times V2\times540\text{ }=\text{ 8.2}\times2.3\times310 \\ 2052V2\text{ }=\text{ 5846.6} \\ \text{ Divide both sides by 2052} \\ \text{ }\frac{\cancel{2052}V2}{\cancel{2052}}=\frac{5846.6}{2052} \\ \text{ V2 }=\text{ 2.8 liters} \end{gathered}[/tex]Therefore, the final volume of the gas is 2.8 liters
