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Calcium dihydrogen phosphate, Ca(H₂PO₄)₂, and sodium hydrogen carbonate, NaHCO₃, are ingredients of baking powder that react to produce CO₂, which causes dough or batter to rise:
Ca(H₂PO₄)₂ (s) + NaHCO₃(s) →
COâ‚‚(g) + Hâ‚‚O(g) + CaHPOâ‚„(s) + NaHPOâ‚„(s)
[unbalanced]
If the baking powder contains 31% NaHCO3 and 35% Ca(Hâ‚‚POâ‚„)â‚‚ by mass: (a) How many moles of COâ‚‚ are produced from 1.00 g of baking powder?

Respuesta :

0.012 mol of COâ‚‚ can be produced from 3.50 g of baking powder.

What is baking powder?

  • Baking powder is a dry chemical leavener composed of carbonate or bicarbonate and a weak acid.
  • The addition of a buffer, such as cornstarch, prevents the base and acid from reacting prematurely.
  • Baking powder is used in baked goods to increase volume and lighten the texture.

To find how many moles of COâ‚‚ are produced from 1.00 g of baking powder:

The balanced equation is:

  • Ca(Hâ‚‚POâ‚„)â‚‚(s) + 2NaHCO₃(s) → 2COâ‚‚(g) + 2Hâ‚‚O(g) + CaHPOâ‚„(s) + Naâ‚‚HPOâ‚„(s)

On 3.50 g of baking power:

  • mCa(Hâ‚‚POâ‚„)â‚‚ = 0.35 × 3.50 = 1.225 g
  • mNaHCO₃ = 0.31 × 3.50 = 1.085 g

The molar masses are: Ca = 40 g/mol; H = 1 g/mol; P = 31 g/mol; O = 16 g/mol; Na = 23 g/mol; C = 12 g/mol.

So,

  • Ca(Hâ‚‚POâ‚„)â‚‚: 40 + 4 × 1 + 31 + 8 × 16 = 203 g/mol
  • NaHCO₃: 23 + 1 + 12 + 3 × 16 = 84 g/mol

The number of moles is the mass divided by molar mass, so:

  • nCa(Hâ‚‚POâ‚„)â‚‚ = 1.225/203 = 0.006 mol
  • nNaHCO₃ = 1.085/84 = 0.0129 mol

First, let's find which reactant is limiting.

Testing for Ca(Hâ‚‚POâ‚„)â‚‚, the stoichiometry is:

  • 1 mol of Ca(Hâ‚‚POâ‚„)â‚‚ ---------- 2 mol of NaHCO₃
  • 0.006 of Ca(Hâ‚‚POâ‚„)â‚‚ -------- x

By a simple direct three rule:

  • x = 0.012 mol

So, NaHCO₃ is in excess.

The stoichiometry calculus must be done with the limiting reactant, then:

  • 1 mol of Ca(Hâ‚‚POâ‚„)â‚‚ ------------- 2 mol of COâ‚‚
  • 0.006 of Ca(Hâ‚‚POâ‚„)â‚‚ -------- x

By a simple direct three rule:

  • x = 0.012 mol of COâ‚‚

Therefore, 0.012 mol of COâ‚‚ can be produced from 3.50 g of baking powder.

Know more about baking powder here:

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The correct question is given below:

Calcium dihydrogen phosphate, Ca(H2PO4)2, and sodium hydrogen carbonate, NaHCO3, are ingredients of baking powder that react with each other to produce CO2, which causes dough or batter to rise: Ca(H2PO4)2(s) + NaHCO3(s) → CO2(g) + H2O(g) + CaHPO4(s) + Na2HPO4(s)[unbalanced] If the baking powder contains 31.0% NaHCO3 and 35.0% Ca(H2PO4)2 by mass: (a) How many moles of CO2 are produced from 3.50 g of baking powder?

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