Useful Molecular and Chemical Equations
Formula Weight & Molecular Weight
Formula weight (FW) and molecular weight (MW) are calculated by summing the atomic weights (AW measured in atomic mass units, amu) of the individual atoms.
| e.g. where: |
|
| | C = 12.01amu
|
| | H = 1.00amu
|
| | Na = 35.45amu
|
| | Cl = 22.99amu
|
| Chemical Name | Chemical Formula | Weight |
|
|
| Benzene | C6H6 | MW = 6*12.01 + 6*1.00 = 78.06amu
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| Sodium Chloride | NaCl | FW = 22.99 + 35.45 = 58.44amu
|
The difference between formula weight and molecular weight depends on the compound. It is correct to refer to a compound such as Benzene having a molecular weight or formula weight. It is incorrect to refer to sodium chloride having a molecular weight as NaCl exists as an ionic compound (Na+ Cl-) not as a molecular compound. In this case it is more precise to refer to sodium chloride’s formula weight.
Avogadro’s Number & mole
1 mole of atoms / molecules has a mass equal to the atomic / molecular weight in grams.
e.g.
1 mole (1mol) NaCl is the number of molecules in 58.44g of NaCl.
(1mol NaCl = 58.44g)
Avogadro’s number is the number of atoms / molecules in 1 mole of any substance, which is equal to 6.02214x1023.
Molarity – Molar Concentration
Molarity is the number of moles of solute per litre of solution.
e.g.
6 molar (6M) HCl is equal to 6 moles (6mol) of HCl per litre (L).
(6M HCl = 6mol/L)
| Where: |
|
| | n = Number of moles
|
| | m = Mass in grams (g)
|
| | FW = Formula weight
|
| | M = Molarity in mol/litre (mol/L)
|
| | V = Volume in litres (L)
|
Based on the previous two equations:
| m = MVFW |
|
Primer Calculations
Primers are dissolved in sterile distilled water (sdH2O) to a concentration of 500pmol.
Use one of the following to determine what volume of sdH2O to use:
Weight / mole Percentage
The percentage weight of an element in a compound is calculated using the atomic weight and formula weight.
| Chemical Name | Chemical Formula | Weight |
|
|
| Hydrochloric acid | HCl | FW = 1.00 + 35.45 = 36.45amu
|
Percentage weight of Cl in HCl:
Similarly, mole percentage is a ratio.
| Where: |
|
| | x = Number of atoms of the element
|
| | T = Total number of atoms in the compound
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Percentage mole of Cl in HCl:
Density and Specific Gravity
Density is the mass of a substance per volume.
| Where: |
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| | D = Density (g/cc)
|
| | m = Mass in grams (g)
|
| | v = Volume in cubic centimetres (cc)
|
| | SG = Specific Gravity
|
Specific gravity is a unitless ratio, so for all purposes; SG ≡ D.
Cubic centimetres are equivalent to millilitres; cc ≡ mL.
D2 = Density of H2O @ 4°C = 1.00g/cc
Molarity, Specific Gravity and Percentage Composition
Calculating Molarity from specific gravity and percentage composition:
| Chemical Name | Formula weight | Percentage Composition | Specific |
|
|
| Hydrochloric acid | 36.45amu | 37% | 1.18
|
Percentage composition means xg of pure compound per 100g of solution, i.e. 37g/100ml = 37%.
To calculate the molarity, the mass of pure compound is needed; however the solution’s specific gravity needs to be taken into account, and the volume; which we’ll take to be 1L.
| m = SG * v * %composition |
|
Where 1L = 1000cc
For HCl:
Therefore:
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