Acetylene gas, C2H2, reacts with oxygen according to the following equation. If 46.0 g of acetylene reacts with 100.0 g of oxygen, what is the theoretical yield of heat produced from the reaction?

___ C2H2(g) + ___ O2(g) → ___ CO2(g) + ___ H2O(g); balanced reaction produces 1299 kJ

1. Balance the equation.

2. This is a limiting reagent (LR) problem. Determine the LR.
3. Convert mols reactants to heat produced. This is the theoretical yield.

2C2H2+5O ---> 4CO2+2H2O

To determine the theoretical yield of heat produced from the reaction, we can use stoichiometry and the balanced equation. The balanced equation shows that for every 1 mole of acetylene, C2H2, reacting with 5 moles of oxygen, O2, it produces 2 moles of carbon dioxide, CO2, and 2 moles of water, H2O.

First, we need to find the moles of acetylene and oxygen reacting. To find the moles, we use the molar mass of each substance.

Molar mass of acetylene (C2H2) = 2*(12.01 g/mol) + 2*(1.008 g/mol) = 26.04 g/mol

Molar mass of oxygen (O2) = 2*(16.00 g/mol) = 32.00 g/mol

Next, we can calculate the moles of each substance:

Moles of acetylene = Mass of acetylene / Molar mass of acetylene
= 46.0 g / 26.04 g/mol
= 1.764 mol

Moles of oxygen = Mass of oxygen / Molar mass of oxygen
= 100.0 g / 32.00 g/mol
= 3.125 mol

Now that we have the moles of acetylene and oxygen, we can use the stoichiometry from the balanced equation to determine the moles of carbon dioxide and water produced.

From the balanced equation: 1 mole of acetylene produces 2 moles of carbon dioxide and 2 moles of water.

Moles of carbon dioxide = 1.764 mol of acetylene * 2 mol of CO2 / 1 mol of C2H2
= 3.528 mol

Moles of water = 1.764 mol of acetylene * 2 mol of H2O / 1 mol of C2H2
= 3.528 mol

Finally, we can calculate the theoretical yield of heat produced using the stoichiometry and the given value of 1299 kJ for the balanced reaction.

Theoretical yield of heat produced = Moles of carbon dioxide * heat produced per mole of CO2
= 3.528 mol * 1299 kJ/mol
= 4,587.072 kJ

Therefore, the theoretical yield of heat produced from the reaction is approximately 4,587.072 kJ.