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2h2 (g) + o2 (g) → 2h2o (l) what is the theoretical yield of water?  

Chemistry Feb 20, 2021

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 O: 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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