The mass of nitroglycerin : 34.52 g
Further explanation
Reaction
4C₃H₅N₃O₉ ⇒ 12 CO₂ + 10H₂O + 6N₂ +O₂
Volume = 10 L
Temperature = -5°C=268 °K
Pressure = 1 atm
mol of CO₂ (ideal gas) :
[tex]\tt n=\dfrac{PV}{RT}\\\\n=\dfrac{1\times 10}{0.082\times 268}\\\\n=0.455[/tex]
mol ratio C₃H₅N₃O₉ : mol CO₂= 4 : 12, so mol C₃H₅N₃O₉ :
[tex]\tt \dfrac{4}{12}\times 0.455=0.152[/tex]
mass C₃H₅N₃O₉ (MW=227,0865 g/mol):
[tex]\tt 0.152\times 227.0865=\boxed{\bold{34.52~g}}[/tex]
