Chemical calculations

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Mass, Mol, Mr
Rob Pettit
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Rob Pettit
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Formulae for calculating Mr, Moles & Mass
Relative atomic mass (Mr) Weighted average mass of atom of element __________________________________________ 1/12 mass of Carbon 12 (12C =1)
Explain the meaning of the numbers in the above graphic. 6 = Atomic number = Number of Protons. 12.011 = Mass number (Ar) = Protons+Neutrons (not an exact number due to weighted averaging of Isotopes of element). 2 4 = number of electrons in 1st & 2nd shell.
Mass number (Ar) = Protons + Neutrons (different for each isotope)
Mr = Relative formula mass = relative molecular mass = the sum of all the atomic masses for all the atoms in a given formula
For an isotope, define the numbers in the adjacent graphic 12 = Mass number (Ar) = exact number of Protons + Neutrons for the isotope. 6 = Atomic/proton number.
Molecular/formula mass calculation Example: The diatomic molecules of the elements hydrogen H2 and chlorine Cl2 Formula masses, RMM or Mr: relative molecular mass for hydrogen H2 = 2 x 1 = 2 relative molecular mass for chlorine Cl2 = 2 x 35.5 = 71 respectively.
Molecular/formula mass calculation Example: The compound water H2O Relative atomic masses are H=1 and O=16 relative molecular mass or Mr = (1x2) + 16 = 18 (molecular mass of water).
Law of conservation of mass calculation Example: Magnesium + Oxygen ==> Magnesium oxide 2Mg + O2 ==> 2MgO (atomic masses required: Mg=24 and O=16) The mass changes in the reaction are: (2 x 24) + (2 x 16) = 2 x (24 + 16) 48 + 32 = 2 x 40 and so 80 mass units of reactants produces 80 mass units of products. You can work with any mass units such as g, kg or tonne (1 tonne = 1000 kg), as long as you use the same units for all the masses involved.
Law of conservation of mass calculation Example: When limestone (calcium carbonate) is strongly heated, it undergoes thermal decomposition to form lime (calcium oxide) and carbon dioxide gas. CaCO3 ==> CaO + CO2 (relative atomic masses: Ca = 40, C = 12 and O = 16) Calculate the mass of calcium oxide and the mass of carbon dioxide formed by decomposing 50 tonnes of calcium carbonate. (40 + 12 + 3x16) ==> (40 + 16) + (12 + 2x16) 100 ==> 56 + 44 scaling down by a factor of two gives 50 ==> 28 + 22 so decomposing 50 tonnes of limestone produces 28 tonnes of lime and 22 tonnes of carbon dioxide gas.
Formulae for Hydrochloric Acid, Nitric Acid and Sulphuric Acid HCl, HNO3, H2SO4
Diatomic molecules of elements H2, O2, N2, - F2, Cl2, Br2, I2.
Formuae for Methane and Ammonia CH4 and NH3
Calculation of % composition Example: Calculate the % of copper in copper sulphate, CuSO4 Relative atomic masses: Cu = 64, S = 32 and O = 16 Relative formula mass = 64 + 32 + (4x16) = 160 only one copper atom of relative atomic mass 64 % Cu = 100 x 64 / 160 = 40% copper by mass in the compound.
Calculate the % of water in hydrated magnesium sulphate MgSO4.7H2O Relative atomic masses: Mg = 24, S = 32, O = 16 and H = 1 Relative formula mass = 24 + 32 + (4 x 16) + [7 x (1 + 1 + 16)] = 246 7 x 18 = 126 is the mass of water so % water = 100 x 126 / 246 = 51.2 % H2O
The empirical formula of a compound is? The simplest whole number ratio of atoms present in a compound. e.g. butane molecular formula C4H10, empirical formula C2H5
Empirical formula calculation Example: The empirical formula of a lead oxide. It is found that 207g of lead combined with oxygen to form 239g of a lead oxide. Work out the formula of the lead oxide. (Relative atomic masses: Pb = 207 and O = 16) Work out the amount of oxygen combined with the lead. By simple logic from the law of conservation of mass, this is 239 - 207 = 32g In atomic ratio terms, the 207 is equivalent to 1 atom of lead and the 32 is equivalent to 2 atoms of oxygen (1 x 207 to 2 x 16), so the formula is simply PbO2
Empirical formula calculation Example: The analysis of sodium sulphate, calculating its empirical formula from the % composition by mass. On analysis, the salt sodium sulfate was found to contain 32.4% sodium, 22.5% sulphur and 45.1% oxygen (atomic masses: Na = 23, S = 32 and O = 16
The formulae to calculate Molarity (concentration) of a solution
The formulae to calculate Moles and Volume of a gas. Volume = Moles x 24,000 cm3
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