The volume of [tex]\rm CO_2[/tex] produced has been 264.28 L.
The volume of the carbon dioxide gas produced can be calculated with the ideal gas equation.
The moles of [tex]\rm NO_3^-[/tex] has been:
Moles = [tex]\rm \dfrac{weight}{molecular\;weight}[/tex]
Moles of 275 g [tex]\rm NO_3^-[/tex] has been:
Moles = [tex]\rm \dfrac{275}{62}[/tex]
Moles of [tex]\rm NO_3^-[/tex] = 4.44 moles
The balanced equation gives that with the reaction of 2 moles [tex]\rm NO_3^-[/tex] , 5 moles carbon dioxide has been formed.
Moles of carbon dioxide formed with 4.44 mol [tex]\rm NO_3^-[/tex] has been:
2 moles [tex]\rm NO_3^-[/tex] = 5 moles [tex]\rm CO_2[/tex]
4.44 moles [tex]\rm NO_3^-[/tex] = 11.1 moles [tex]\rm CO_2[/tex].
The volume of the [tex]\rm CO_2[/tex] can be calculated as:
Pressure [tex]\times[/tex] Volume = moles [tex]\times[/tex] Rydberg constant [tex]\times[/tex] temperature
For the [tex]\rm CO_2[/tex] produced:
1 atm [tex]\times[/tex] Volume = 11.1 mol [tex]\times[/tex] 0.0821 atm.L/K.mol [tex]\times[/tex] 290 K
Volume = 264.28 L.
The volume of [tex]\rm CO_2[/tex] produced has been 264.28 L.
For more information about the volume of gas, refer to the link:
https://brainly.com/question/15265703