The burning if 18.0 g of carbon produces 55.0 g of carbon dioxide. What is the theoretical yield of CO2? Calculate the percent yield of CO2.

To find the theoretical yield of CO2, we need to determine the maximum amount of CO2 that can be produced from the given amount of carbon. We can use stoichiometry to relate the amounts of carbon and carbon dioxide in the balanced chemical equation for the combustion of carbon.

The balanced equation for the combustion of carbon is:

C + O2 -> CO2

According to the equation, one mole of carbon reacts with one mole of oxygen gas to produce one mole of carbon dioxide.

To find the moles of carbon in 18.0 g, we need to divide the mass by the molar mass of carbon.

Molar mass of carbon = 12.01 g/mol

moles of carbon = mass of carbon / molar mass of carbon
= 18.0 g / 12.01 g/mol
≈ 1.4989 mol

Since the balanced equation shows that one mole of carbon produces one mole of carbon dioxide, the moles of carbon dioxide formed will be the same as the moles of carbon.

Therefore, the theoretical yield of CO2 is approximately 1.4989 mol.

To calculate the percent yield, we need to compare the actual yield (given as 55.0 g) with the theoretical yield (1.4989 mol) and convert the actual yield to moles.

The molar mass of carbon dioxide (CO2) is:

Molar mass of CO2 = 12.01 g/mol (molar mass of carbon) + 2 * 16.00 g/mol (molar mass of oxygen)
= 44.01 g/mol

The moles of CO2 formed from the actual yield can be calculated as follows:

moles of CO2 = mass of CO2 / molar mass of CO2
= 55.0 g / 44.01 g/mol
≈ 1.2503 mol

After calculating the moles of CO2 from the actual yield, we can calculate the percent yield using the following formula:

percent yield = (actual yield / theoretical yield) * 100
= (1.2503 mol / 1.4989 mol) * 100
≈ 83.39 %

Therefore, the percent yield of CO2 is approximately 83.39%.

If anyone could do a step by step it would be appreciated.

C + O2 ==> CO2

mols C = grams/molar mass
Use the coefficients in the balanced equation to convert mols C to mols CO2.
Then g CO2 = mols CO2 x molar mass CO2. This is the theoretical yield.
%yield = (actual yield/theor yield)*100 = ?