C3H5N3O9(s) --> N2(g) + CO2(g) + H2O(g) + O2(g) Solid nitroglycerine explodes when heated, producing several different gases (according to the reaction above). If a government scientist explodes 777 g of nitroglycerine, How many grams of each gas should be produced? How many molecules of each gas will be produced?

- 143.6 g of N₂ ; 3.08×10²⁴ molecules of N₂

- 451.4 g of CO₂ ; 6.17×10²⁴ molecules of CO₂

- 153.9 g of H₂O ; 5.14×10²⁴ molecules of H₂O

- 27.3 g of O₂ ; 5.14×10²³ molecules of O₂

Explanation:

This is a reaction of decomposition:

4C₃H₅N₃O₉(s)  →  6N₂(g)  +  12CO₂(g)  +  10H₂O(g)  +  O₂(g)

4 moles of solid nitroglycerine decompose to 6 moles of nitrogen, 12 moles of carbon dioxide, 10 moles of water vapor and 1 mol of oxygen

We convert mass to moles → 777 g. 1mol/ 227g = 3.42 moles

4 moles of C₃H₅N₃O₉ can decompose to:

6 moles of N₂  12 moles of CO₂ ___ 10 moles of H₂O ___ 1 mol of O₂

Then, 3.42 moles of C₃H₅N₃O₉ may decompose to:

(3.42 . 6) / 4  =  5.13 moles of N₂

(3.42 . 12) / 4 = 10.26 moles of CO₂

(3.42 . 10) / 4 = 8.55 moles of water vapor

(3.42 . 1) / 4 = 0.855 moles of oxygen

We convert the moles to mass:

5.13 mol . 28 g/mol = 143.6 g of N₂

10.26 mol . 44 g/mol = 451.4 g of CO₂

8.55 mol . 18 g/mol = 153.9 g of H₂O

0.855 mol . 28 g/mol = 27.3 g of O₂

We count the atoms:

5.13 mol . 6.02×10²³ molecules /mol = 3.08×10²⁴ molecules of N₂

10.26 mol . 6.02×10²³ molecules /mol = 6.17×10²⁴ molecules of CO₂

8.55 mol . 6.02×10²³ molecules /mol = 5.14×10²⁴ molecules of H₂O

0.855 mol . 6.02×10²³ molecules /mol = 5.14×10²³ molecules of O₂

the earth would become to overheated and everything alive on it will eventually die from overheating. plants will eventually die as well, water will evaporate, and it will be nothing but a hot planet without anything living on it.