Thursday, March 3, 2011

Stoichiometry Calculations

Solving Stoichiometry calculations:
  1. Balance the equation (If not already)
  2. Convert units of a given substance to moles.
  3. Using the mole ratio, calculate the moles of substance yielded by the reaction.
  4. Convert moles of wanted substance to desired units.
Mole Map for reference:
Mole Map

Example:  Zn + 2HCl --> ZnCl₂ + H₂
  • How many grams of ZnCl₂ will be produced in the reaction of HCl with 0.350 moles of Zn?
0.350 mol Zn x 1 ZnCl₂/1 Zn = 0.350 mol ZnCl₂
0.350 mol ZnCl₂ x 135.4g/1 mol = 47.39 g ZnCl₂
                                         Sig Fig = 47.4 g

Example: Ca(OH)₂ + H₂SO₃ --> CaSO₃ + 2H₂O
  • How many particles of water can be produced from 47.6 g of Sulphurous acid (H₂SO₃) when sufficient Calcium hydroxide (Ca(OH)₂) is available?
47.6 g H₂SO₃ x 1 mol/82.1 g = 0.57978... mol H₂SO₃
0.57978 mol H₂SO₃ x 2 H₂O/1 H₂SO₃ = 1.15956... mol H₂O
1.15956 mol H₂O x 6.022x10²³/1 mol = 6.9828794x10²³ particles of H₂O
                                                 Sig Fig = 6.98x10²³ particles of H₂O

Example: 2Al +3Cl₂→2AlCl
  •  80.0 g of Al is reacted with excess chlorine gas, how many formula units of AlCl₃ are produced?
80g Al x 1 mol/27g = 2.96 mol Al
2.96 mol Al x 2 AlCl₃/2 Al = 2.96 mol AlCl
2.96 mol AlCl₃ x 6.022x10²³/1 mol = 1.78x10²⁴ 
                                             Sig Fig = 1.8x10²⁴ formula units of AlCl

Example: CO +2H₂→CH₃OH
  • At STP, what volume of H₂ is needed to react completely with 8.02×10²³molecules of CO?
8.02×10²³molecules CO x 1 mol/6.022x10²³ = 1.3321... mol CO
1.3321 mol CO x 2 H₂/1 CO = 2.66423... mol H₂
2.66423 mol H₂ x 22.4 L STP/1 mol = 59.6787 L H₂
                                               Sig Fig = 59.7 L H₂

Example: Cu + 2AgNO₃ --> Cu(NO₃)₂ + 2Ag
  • How many g of Ag are formed when 16.2 g Cu react with sufficient AgNO₃?
16.2g Cu x 1 mol/63.5g = 0.255 mol Cu
0.255 mol Cu x 2 Ag/1 Cu = 0.510 mol Ag
0.510 mol Ag x 107.9 g/1 mol = 55.054 g 
                                     Sig Fig = 55.1 g of Ag
  • How many atoms of Ag are formed when 2.5 mol Cu are reacted with sufficient AgNO₃?
2.5 mol Cu x 2 Ag/1 Cu = 5 mol Ag
5 mol Ag x 6.022x10²³/1 mol = 3.011x10²⁴
                                   Sig Fig = 3.0x10²⁴ atoms Ag


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