Nitroglycerin,the main component of dynamite,decomposes very rapidly and exothermically according to the equation: 4C₃H₅N₃O₉(l) $\to$ 6N₂(g) + 12CO₂(g) + 10H₂O(g) + O₂(g) + energy
What is the total volume of products that would be produced from 595 g of nitroglycerin? Assume the heat released caused the temperature to become 233°C and the pressure to be 10.0 atm.

Question

Nitroglycerin,the main component of dynamite,decomposes very rapidly and exothermically according to the equation: 4C₃H₅N₃O₉(l)

\to

6N₂(g) + 12CO₂(g) + 10H₂O(g) + O₂(g) + energy
What is the total volume of products that would be produced from 595 g of nitroglycerin? Assume the heat released caused the temperature to become 233°C and the pressure to be 10.0 atm.

Quizplus · Accepted Answer

1. Calculate the moles of nitroglycerin: 
595 g / 227.09 g/mol = 2.620 mol
2. Use the balanced chemical equation to determine the mole ratio of products to nitroglycerin: 
1 mol nitroglycerin produces 10 mol gas products
2.620 mol nitroglycerin produces: 
(2.620 mol / 1 mol) x (10 mol total gas products) = 26.20 mol total gas products
3. Use the ideal gas law to calculate the volume of the gas products: 
PV = nRT
V = nRT/P
V = (26.20 mol) x (0.08206 L·atm/K·mol) x (506.15 K) / (10.0 atm)
V = 78.9 L
Therefore, the answer is B.

Nitroglycerin,the Main Component of Dynamite,decomposes Very Rapidly and Exothermically According →\to→

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