Suppose that 10.0 L of Carbon Dioxide gas are produced by this reaction, 4C3H5N3O9 -> 12 CO2 + 10H2O + 6N2 +O2, at a temperature of -5 degrees C, and a pressure of exactly 1 atm. Calculate the mass of nitroglycerin that must have reacted in grams.

The mass of nitroglycerin : 34.52 g

Reaction

4C₃H₅N₃O₉ ⇒ 12 CO₂ + 10H₂O + 6N₂ +O₂

Volume = 10 L

Temperature = -5°C=268 °K

Pressure = 1 atm

mol of CO₂ (ideal gas) :

mol ratio C₃H₅N₃O₉ : mol CO₂= 4 : 12, so mol C₃H₅N₃O₉ :

mass C₃H₅N₃O₉ (MW=227,0865 g/mol):

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.