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Fireworks contain a range of chemicals including a fuel, oxidising agents and metal salts. (a) One oxidising agent used in fireworks is potassium perchlorate, KClO₄... show full transcript
Step 1
Answer
To balance the equation KClO₄ + Al → KCl + Al₂O₃, we can follow these steps:
Count the number of each type of atom in the unbalanced equation:
Adjust coefficients to balance the aluminum and oxygen:
3KClO₄ + 2Al → 3KCl + Al₂O₃
Confirm that each side of the equation has equal numbers of each type of atom:
Thus, the balanced equation is:
3KClO₄ + 2Al → 3KCl + Al₂O₃.
Step 2
Answer
Calculate moles of KClO₃:
(GFM = 122.6 g):
[ ext{Moles} = \frac{4.6 \text{ g}}{122.6 \text{ g/mol}} \approx 0.03752 ext{ moles} ]
From the balanced reaction, we can see that 2 moles of KClO₃ produce 3 moles of O₂:
[ 2KClO₃(s) \rightarrow 3O₂(g) ]
Calculate moles of O₂ produced:
[ \text{Moles of } O₂ = 0.03752 \text{ moles of KClO₃} \times \frac{3 ext{ moles O₂}}{2 ext{ moles KClO₃}} \approx 0.05628 ext{ moles O₂} ]
Using the molar volume (24 L/mol) to find the volume of O₂ produced:
[ \text{Volume of } O₂ = 0.05628 \text{ moles} \times 24 \text{ L/mol} \approx 1.35 \text{ L} ]
Therefore, the volume of oxygen produced is approximately 1.35 litres.
Step 3
Answer
Adding a catalyst to a chemical reaction does not change the enthalpy change of the reaction. The catalyst simply provides an alternative pathway with a lower activation energy for the reaction without altering the overall energy difference between reactants and products.
Step 4
Answer
To find the energy released per mole, we need to find how many moles are in 5.5 g of potassium perchlorate (GFM = 138.6 g/mol):
Calculate the moles:
[ \text{Moles} = \frac{5.5 ext{ g}}{138.6 ext{ g/mol}} \approx 0.0397 ext{ moles} ]
Determine the energy released per mole:
[ \text{Energy per mole} = \frac{103 ext{ kJ}}{0.0397 ext{ moles}} \approx 2,593.4 ext{ kJ/mol} ]
Thus, the energy released per mole of potassium perchlorate is approximately 2,593.4 kJ/mol.
Step 5
Answer
Increasing the temperature of a reaction generally increases the rate of the reaction due to several factors:
Increased Kinetic Energy: Higher temperatures result in greater average kinetic energy among the reacting molecules. This higher energy means that a larger fraction of molecules will possess sufficient energy to overcome the activation energy barrier, leading to more frequent reactions.
More Frequent Collisions: Increased temperature also causes molecules to move faster and collide more often, increasing the likelihood of achieving successful collisions that lead to reactions.
Increased Number of Effective Collisions: As temperature rises, not only does the frequency of collisions increase, but so does the energy of those collisions, resulting in a higher probability of reaction.
In conclusion, as the temperature increases, the combination of increased kinetic energy and the frequency of molecular collisions work together to raise the reaction rate.
Step 6
Answer
Given that peak A has a wavelength of 620 nm, which corresponds to red light, we need to consider common metals used in fireworks that typically emit a distinct color spectrum. The metal responsible for peak B on the spectrum is likely to be Sodium, as it is known to produce a yellow flame and emits light in a similar wavelength range.
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