Answer : The volume of oxygen at STP is 112.0665 L
Solution : Given,
The number of moles of [tex]O_2[/tex] = 5 moles
At STP, the temperature is 273 K and pressure is 1 atm.
Using ideal gas law equation :
[tex]PV=nRT[/tex]
where,
P = pressure of gas
V = volume of gas
n = the number of moles
T = temperature of gas
R = gas constant = 0.0821 L atm/mole K (Given)
By rearranging the above ideal gas law equation, we get
[tex]V=\frac{nRT}{P}[/tex]
Now put all the given values in this expression, we get the value of volume.
[tex]V=\frac{(5moles)\times (0.0821Latm/moleK)\times (273K)}{1atm}=112.0665L[/tex]
Therefore, the volume of oxygen at STP is 112.0665 L