Here are the solutions to the questions:
6. State two methods that can be used to remove water hardness.
• Boiling
• Adding washing soda (sodium carbonate)
7. (a) Define the term solubility.
Solubility is the maximum mass of a solute that can dissolve in a given mass of solvent at a specific temperature to form a saturated solution.
(b) Use the data to calculate the solubility of solid Q.
Step 1: Calculate the mass of the saturated solution.
Massofsaturatedsolution=Massof(dish+saturatedsolution)−Massofemptydish
Massofsaturatedsolution=62.5g−46.5g=16.0g
Step 2: Calculate the mass of dry solid Q (solute).
MassofdrysolidQ=Massof(dish+drysolidQ)−Massofemptydish
MassofdrysolidQ=50.4g−46.5g=3.9g
Step 3: Calculate the mass of water (solvent).
Massofwater=Massofsaturatedsolution−MassofdrysolidQ
Massofwater=16.0g−3.9g=12.1g
Step 4: Calculate the solubility of solid Q (mass of solute per 100 g of water).
Solubility=MassofwaterMassofsolidQ×100g
Solubility=12.1g3.9g×100g
Solubility=32.2314...g/100gwater
The solubility of solid Q is 32.2g/100gwater.
8. (a) What is meant by lattice energy?
Lattice energy is the energy change when one mole of an ionic compound is formed from its gaseous ions under standard conditions.
(b) Use the information below to calculate the heat of solution of calcium chloride.
The heat of solution (ΔHsol) can be calculated using Hess's Law:
ΔHsol=Latticeenergy(dissociation)+Hydrationenergyofcations+Hydrationenergyofanions
The given lattice energy for CaCl2 is -2195 kJ/mol, which is the energy released when the lattice is formed from gaseous ions. Therefore, the energy required to dissociate the lattice into gaseous ions is +2195 kJ/mol.
For CaCl2, there is one Ca2+ ion and two Cl− ions.
Step 1: Write the equation for the heat of solution.
ΔHsol=−ΔHlattice(formation)+ΔHhydration(Ca2+)+2×ΔHhydration(Cl−)
Step 2: Substitute the given values.
ΔHsol=−(−2195kJ/mol)+(−189kJ/mol)+(2×−384kJ/mol)
ΔHsol=2195kJ/mol−189kJ/mol−768kJ/mol
Step 3: Calculate the heat of solution.
ΔHsol=2195−189−768
ΔHsol=1238kJ/mol
The heat of solution of calcium chloride is +1238kJ/mol.
9. (a) State Boyle's law.
Boyle's law states that for a fixed mass of gas at constant temperature, the pressure of the gas is inversely proportional to its volume.
(b) A gas occupies 500 cm3 at 37°C and 100,000 Pa. What will be its volume at 10°C and 101,325 Pa?
Use the combined gas law: T1P1V1=T2P2V2
Step 1: Convert temperatures to Kelvin.
T1=37\circC+273.15=310.15K
T2=10\circC+273.15=283.15K
Step 2: List the given values.
P1=100,000Pa
V1=500cm3
T1=310.15K
P2=101,325Pa
T2=283.15K
V2=?
Step 3: Rearrange the combined gas law to solve for V2.
V2=P2T1P1V1T2
Step 4: Substitute the values and calculate V2.
V2=(101,325Pa)×(310.15K)(100,000Pa)×(500cm3)×(283.15K)
V2=31499993.7514157500000
V2=449.43cm3
The volume of the gas will be 449cm3 (to 3 significant figures).
10. Describe how a solid sample of copper (II) carbonate can be prepared starting with copper metal.
- React the copper metal with concentrated nitric acid to form a soluble copper (II) nitrate solution.
Cu (s)+4HNO3(conc)→Cu(NO3)2(aq)+2NO2(g)+2H2O (l)
- Add a solution of a soluble carbonate, such as sodium carbonate, to the copper (II) nitrate solution. This will cause copper (II) carbonate to precipitate as it is insoluble.
Cu(NO3)2(aq)+Na2CO3(aq)→CuCO3(s)+2NaNO3(aq)
- Filter the precipitate (copper (II) carbonate) from the solution.
- Wash the solid copper (II) carbonate with distilled water to remove any soluble impurities.
- Dry the solid copper (II) carbonate, for example, by placing it in a desiccator or in a warm oven.
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