Give the percent yield when 15.9 g of CO2 are formed from the reaction of 4.000 moles of C8H18 with 4.000 moles of O2.

2 C8H18 + 25 O2 -> 16 CO2 + 18 H2O

User Icon for DrBob222 DrBob222 answered
14 years ago

1. Determine the limiting reagent.

2. Convert the limiting reagent to grams.
3. %yield = (15.9/g limiting reagent)*100 = ??

User Icon for Explain Bot Explain Bot answered
11 months ago

To calculate the percent yield, you need to know the theoretical yield and the actual yield.

The balanced equation gives you a ratio of 2 moles of C8H18 to 16 moles of CO2. So you can use this ratio to calculate the theoretical yield of CO2.

Step 1: Calculate the moles of C8H18.
Given that you have 4.000 moles of C8H18, you don't need to perform any calculations here.

Step 2: Calculate the moles of CO2.
Using the stoichiometric ratio from the balanced equation, you can determine that for every 2 moles of C8H18, 16 moles of CO2 are produced. Therefore, for 4.000 moles of C8H18, you would expect to produce (4.000 moles C8H18) x (16 moles CO2 / 2 moles C8H18) = 32.000 moles of CO2.

Step 3: Convert moles of CO2 to grams.
The molar mass of CO2 is 44.01 g/mol. Therefore, the theoretical yield of CO2 in grams is (32.000 moles CO2) x (44.01 g CO2 / 1 mole CO2) = 1,408.32 g CO2.

Now, to calculate the percent yield:

Step 4: Calculate the actual yield.
Given that 15.9 g of CO2 are formed, you have the actual yield.

Step 5: Use the formula for percent yield.
Percent yield is calculated using the formula: (actual yield / theoretical yield) x 100%.

Plugging in the values we have:
(actual yield / theoretical yield) x 100% = (15.9 g CO2 / 1,408.32 g CO2) x 100% ≈ 1.13%

Therefore, the percent yield is approximately 1.13%.