ANSWER
The pressure of the gas is 3.9 atm
EXPLANATION
Given information
The volume of the gas = 5L
The temperature of the gas = 27 degrees Celcius
The number of moles = 0.8 moles
To find the number of moles, we will need to apply the below formula
[tex]PV\text{ = nRT}[/tex]
Where
P = pressure
V = volume
n = number of moles
R = gas constant
T = Temperature
Recall, that the gas constant is 0.082005 L atm mol^-1 K^-1
The next step is to convert the temperature from degrees Celcius to Kelvin
[tex]\begin{gathered} T\degree\text{ K = t + 273.15} \\ T\degree K\text{ = 27 + 273.15} \\ T\degree K\text{ = 300.15} \end{gathered}[/tex]
The next step is to substitute the given data into the formula in order to find the pressure of the gas
[tex]\begin{gathered} P\text{ }\times\text{ 5 = 0.082005 }\times\text{ 0.8 }\times\text{ 300.15} \\ 5P\text{ = 19.6910} \\ \text{ Divide both sides by 5} \\ \frac{5P}{5}\text{ = }\frac{19.6910}{5} \\ P\text{ = 3.9 atm} \end{gathered}[/tex]
Hence, the pressure of the gas is 3.9 atm
