Initial moles of ammonium nitrite
moles of Ammonium nitrate = (mass /molar mass)
mass = 3.4 Kg = 3.4 1000 = 3400 g
molar mass = 64 g/mol
so, moles = (3400/64)
= 53.125
now , ideal gas equation is PV = nRT
R = 0.08341 L-bar /mol. K
T = 527 + 273 = 800 K
V = 20.0 L
pressure of N2 after 7 min = 0.15 bar
so, moles of N2 after 7 min
n = (PV)/(RT)
= ( 0.15 20.0)/0.0831800)
= 0.045
mole ratio of NH4NO3 and N2 = 1 :1
BCA table is
moles of NH4NO3 | moles of N2 | |
before | 53.125 | 0 |
change | - 0.045 | +0.045 |
after | 53.125 - 0.045 = 53.08 | 0.045 |
therefore average rate production of N2
= - change in moles of ammonium nitrite/ time interval
= moles of N2 formed/time interval
= (0.045)/7
= 0.00642 mol/min
moles of ammonium nitrite consumed = moles of N2 formed
= 0.045
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