A brief note on Laws of Chemical Combination . Read it before a test. Try each question at the end before you open its answer.
The big ideas Conservation of mass (Lavoisier): in a reaction, the total mass of the reactants equals the total mass of the products. Test it in a closed vessel. Constant proportions (Proust): a compound always has its elements in the same ratio by mass. Dalton's atomic theory : matter is made of atoms, which are not created or destroyed in reactions and join in small whole-number ratios. Atomic mass : 1 u 1\ \text{u} 1 u is one twelfth of the mass of a carbon-12 atom, 1.66 × 10 − 24 g 1.66 \times 10^{-24}\ \text{g} 1.66 × 1 0 − 24 g . Fixed ratios by mass Compound Elements Ratio by mass Water H : O 1 : 8 1 : 8 1 : 8 Carbon dioxide C : O 3 : 8 3 : 8 3 : 8 Ammonia N : H 14 : 3 14 : 3 14 : 3 Magnesium oxide Mg : O 3 : 2 3 : 2 3 : 2
A worked example 21 g 21\ \text{g} 21 g of nitrogen is mixed with 5 g 5\ \text{g} 5 g of hydrogen to make ammonia ( 14 : 3 14 : 3 14 : 3 by mass). How much ammonia forms, and what is left?
Hydrogen needed. 21 g × 3 14 = 4.5 g 21\ \text{g} \times \dfrac{3}{14} = 4.5\ \text{g} 21 g × 14 3 = 4.5 g , and there is 5 g 5\ \text{g} 5 g , so the nitrogen is used up first. Ammonia. 21 g + 4.5 g = 25.5 g 21\ \text{g} + 4.5\ \text{g} = 25.5\ \text{g} 21 g + 4.5 g = 25.5 g . Left over. 5 g − 4.5 g = 0.5 g 5\ \text{g} - 4.5\ \text{g} = 0.5\ \text{g} 5 g − 4.5 g = 0.5 g of hydrogen. Practice with new numbers
A program to try The program works out the worked example.
Read it, then run it. Which gas is left over?
1. Change nitrogen, hydrogen = 21, 5 to 28, 5. Which gas runs out first now?
Mistakes to avoid Weighing in an open vessel and blaming the law when a gas escapes. Mixing up the ratio of atoms and of masses. Water has 2 : 1 2 : 1 2 : 1 atoms but 1 : 8 1 : 8 1 : 8 by mass. Forgetting the left-over. Only the fixed ratio reacts. Forgetting to add the parts before sharing a mass out. Check yourself In a sealed flask, 5 g 5\ \text{g} 5 g of A reacts with 9 g 9\ \text{g} 9 g of B to make 11 g 11\ \text{g} 11 g of C and some D. What is the mass of D? Stuck? Show a hint Show the answerHow much carbon is there in 55 g 55\ \text{g} 55 g of carbon dioxide? Stuck? Show a hint Show the answerWhich idea of Dalton explains the law of constant proportions? Stuck? Show a hint Show the answerHow many times as heavy as a nitrogen atom is an iron atom? Use N = 14 u \text{N} = 14\ \text{u} N = 14 u and Fe = 56 u \text{Fe} = 56\ \text{u} Fe = 56 u . Stuck? Show a hint Show the answer