
Anthony T. answered 02/28/21
Patient Math & Science Tutor
The balance reaction is 2NH4NO3 -------> 4N2 + O2 + 4H2O all in the gas phase.
First calculate the # of moles of NH4NO3.
Molecular mass of NH4NO3 = 80. # moles NH4NO3 = 86600 g / 80 g/mole = 1082.5 moles.
Now, calculate the # of moles of each gaseous product using the following formulas:
4N2 / 2NH4NO3 x 1082.5 moles NH4NO3 = 2165 moles N2
1 O2 / 2NH4NO3 x 1082.5 moles NH4NO3 = 541.3 moles O2
4H2O / 2NH4NO3 x 1082.5 moles NH4NO3 = 2165 moles H2O vapor
The total volume can be determined by V = nRT/P for each gas produced.
Vn2 = 2165 x 0.0821 x 580K / 1 atm = 2165 x 47.6 = 103093 L
VO2 = 541.3 x 47.6 = 25766 L
VH2O = 2165 x 47.6 = 103093 L
Total volume = 103093 + 25766 + 103093 = 231952 L
I used rounded numbers for atomic masses. Check calculations using more exact masses and round to the required number of significant figures.