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3.3.2 Theoretical Masses of Products

What are Theoretical Masses?

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Theoretical mass is the maximum amount of product that could be formed from a given amount of reactants, assuming the reaction goes perfectly with no losses or side reactions.

infoNote

How to Calculate Theoretical Mass:

  • To find the theoretical mass of a product:
  1. Use the balanced chemical equation to see the ratio of reactants to products.
  2. Calculate the moles of reactants you're starting with.
  3. Use the mole ratio from the equation to find the moles of product you should get.
  4. Convert moles to grams using the relative formula mass (Mr) of the product.
lightbulbExample

Example Problem: Let's say you want to calculate the theoretical mass of water (Hâ‚‚O) produced when 8 grams of hydrogen gas (Hâ‚‚) reacts with excess oxygen gas (Oâ‚‚).

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Step 1: Use the balanced chemical equation: The balanced equation for the reaction between hydrogen and oxygen to form water is:

2H2+O2→2H2O2H_2+O_2→2H_2O

This equation tells us that 2 moles of hydrogen gas react with 1 mole of oxygen gas to produce 2 moles of water.

Step 2: Calculate the moles of reactants:

  • First, find the relative formula mass (Mr) of hydrogen gas (Hâ‚‚):
MrofH2=2Ă—1=2Mr of H2=2Ă—1=2
  • The atomic mass of hydrogen (H) is 1, so:
MrofH2=2Ă—1=2Mr of H_2=2Ă—1=2
  • Now, calculate the moles of hydrogen gas you have:
MolesofH2=MassMr=8g2=:highlight[4moles] Moles of H_2= \frac{Mass}{Mr} =\frac{8g}{2}=:highlight[4 moles]

Step 3: Use the mole ratio:

  • The balanced equation tells us that 2 moles of Hâ‚‚ produce 2 moles of Hâ‚‚O.
  • Since we have 4 moles of Hâ‚‚, and the ratio is 1:1, we will produce 4 moles of Hâ‚‚O.

Step 4: Convert moles to grams:

  • Find the relative formula mass (Mr) of water (Hâ‚‚O):
  • The atomic mass of hydrogen (H) is 1, and oxygen (O) is 16, so:
MrofH2O=(2Ă—1)+16=18Mr of H_2O=(2Ă—1)+16=18
  • Now, calculate the theoretical mass of water:
MassofH2O=MolesĂ—Mr=4Ă—18=:highlight[72g] Mass of H_2O=MolesĂ—Mr=4Ă—18=:highlight[72 g]

Final Answer:

  • The theoretical mass of water produced is 72 grams.

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