Question

If 2.00 kg of nitroglycerin is detonated at STP, how many liters of products are formed? Nitroglycerin detonates according to the balanced reaction:

4C₃H₅N₃O₉​ (l) --> 12CO₂​ (g) + 6N₂​ (g) + O₂ (g) + 10H₂O (g)

Answer 1

Molar mass of C4H5N3O9 = 4*MM(C) + 5*MM(H) + 3*MM(N) + 9*MM(O)

= 4*12.01 + 5*1.008 + 3*14.01 + 9*16.0

= 239.11 g/mol

mass of C4H5N3O9 = 2000 g

mol of C4H5N3O9 = (mass)/(molar mass)

= 2000/239.11

= 8.3644 mol

From balanced chemical reaction, we see that

when 4 mol of C4H5N3O9 reacts, 29 mol of gas is formed

mol of gas formed = (29/4)* moles of C4H5N3O9

= (29/4)*8.3644

= 60.6415 mol

Molar volume at STP = 22.4 L

So,

volume = number of mol * molar volume

= 60.6415 mol * 22.4 L/mol

= 1358 L

Answer: 1358 L