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Atom Economy

Revision as of 19:43, 27 January 2019 by NRJC (talk | contribs) (Atom Economy Equation)

Key Stage 4

Meaning

Atom Economy is the percentage of atoms in the reactants which ends up in the desired products.

About Atom Economy

During a chemical reaction there is often more than one product. When there is more than one product often one is desired and one is a waste product that must be disposed of.
To reduce costs and increase the efficiency of a process chemical engineers design systems that produce the maximum amount of a desired product and a minimum amount of waste products.

Atom Economy Equation

Percentage Atom Economy = [(Relative Formula Mass of Desired Product)/(Sum of Relative Formula Masses of Reactants)] x 100%

% Atom Economy = \(\frac{M_desiredproduct}{M_allreactants}\)

Where:

Mdesiredproduct = Relative Formula Mass of Desired Product

Mallreactants = Sum of Relative Formula Masses of Reactants

Example Calculations

Calculate the atom economy for producing Ammonia in the following reaction: N2(g) + 3H2(g) ⇌ 2NH3(g)

Calculate the atom economy for producing Calcium Oxide in the following reaction: CaCO3(s) → CaO(s) + CO2(g)

Calculate the atom economy for producing Sodium Chloride in the following reaction: HCl(aq) + NaOH(aq) → NaCl(aq) + H2O(l)

Find the Relative Formula Mass of the relevant reactants and product.

Mr of N2 = 28g

Mr of H2 = 2g

Mr of NH3 = 17g

Find the Relative Formula Mass of the relevant reactants and product.

Mr of CaCO3 = 100g

Mr of CaO = 56g

Find the Relative Formula Mass of the relevant reactants and product.

Mr of HCl = 36.5g

Mr of NaOH = 40g

Mr of NaCl = 58.5g

Find the total mass of reactants needed and the total mass of the desired product.

Mass of Reactants = 28 + 3 x 2

Mass of Reactants = 34g

Mass of desired Product = 2 x 17

Mass of desired Product = 34g

Find the total mass of reactants needed and the total mass of the desired product.

Mass of Reactants = 100g

Mass of desired Product = 56g

Find the total mass of reactants needed and the total mass of the desired product.

Mass of Reactants = 36.5 + 40

Mass of Reactants = 76.5g

Mass of desired Product = 58.5g

Find the number of moles supplied of the known mass.

No. Moles = \(\frac{Mass}{M_r}\)

No. Moles = \(\frac{48}{24}\)

No. Moles = 2 mol

Therefore 2 moles of MgO is produced.

2 moles of MgO = 40x2

Yield = 80g

Find the number of moles supplied of the known mass.

No. Moles = \(\frac{Mass}{M_r}\)

No. Moles = \(\frac{320}{16}\)

No. Moles = 20 mol

Therefore 40 moles of H2O are produced.

40 moles of CO2 = 18x40

Yield = 720g

Find the number of moles supplied of the known mass.

No. Moles = \(\frac{Mass}{M_r}\)

No. Moles = \(\frac{7.3}{36.5}\)

No. Moles = 0.2 mol

Therefore 0.2 mole of Sodium Chloride is produced.

0.2 mole of NaCl = 11.7g

Yield = 11.7g