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2h2 (g) + o2 (g) → 2h2o (l) what is the theoretical yield of water?
2h2 (g) + o2 (g) → 2h2o (l) what is the theoretical yield of water?
Expert Solution
- Theoretical yield of water = 5.63 g
- mass = moles x molar mass
- Limiting reagent => O2 = 0.15625 moles
- Excess reagent = H2 by 2.48 moles - 0.3125 moles = 2.1675 moles
- Limiting reagent dictates the amount of product formed.
Step-by-step explanation
- Balanced reaction is as:
- 2 H2 (g) + O2 (g) ==> 2 H2O (l)
- We are given
- mass H2 = 5.0 g
- mass O2 = 5.0 g
- Part A => Calculating moles of reactants
- we know that respective molar masses H2 = 2.016 g/mole and O2 = 32 g/mole
- mass = moles x molar mass thus
- moles = mass / molar mass thus
- moles H2 = 5.0 g / 2.016 g/mole
- moles H2 = 2.48 moles
- moles O2 = 5.0 g/ 32 g/mole
- moles O2 = 0.15625 moles
- Part B => Finding the limiting and excess reagents
- we have calculated
- moles H2 = 2.48 moles
- moles O2 = 0.15625 moles
- The limiting reagent gets depleted first thus tops the reaction from continuing, in doing this it dictates the amount of product formed
- From the balanced reaction we can see that:
- 2 H2 (g) + O2 (g) ==> 2 H2O (l)
- Mole ratio H2:O2 = 2:1
- thus
- moles H2 needed to react with 0.15625 moles O2 = 2/1 x 0.15625 moles = 0.3125 moles ( we have 2.48 moles H2)
- moles O2 needed to completely react with2.48 moles H2 = 1/2 x 2.48 moles = 1.24 moles (we have 0.15625 moles O2)
- We can see that, O2 gets depleted first thus
- Limiting reagent => O2
- Excess reagent = H2 by 2.48 - 0.3125 moles = 2.1675 moles
- Part C => Finding mass of water formed / theoretical yield
- We know
- Limiting reagent => O2 = 0.15625 moles
- Thus it dictates the amount of water formed
- from the balanced reaction,
- 2 H2 (g) + O2 (g) ==> 2 H2O (l)
- mole ratio O2 : H2O = 1:2 thus
- moles H2O produced = 2/1 x 0.15625 moles
- moles H2O = 0.3125 moles
- We know
- mass = moles x molar mass (18.015 g/mole)
- mass H2O = 0.3125moles x 18.015 g/mole
- mass H2O = 5.63 g
- This is the theoretical yield of water
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