Answer:
1. The balanced equation for the thermal decomposition of potassium chlorate is:
2KClO3(s) → 2KCl(s) + 3O2(g)
2. Using the stoichiometry of the balanced equation, we can see that 2 moles of KClO3 produce 3 moles of O2. Therefore, 9.50 moles of O2 are produced by (9.50 moles O2 / 3 moles O2 per 2 moles KClO3) = 6.33 moles KClO3. The heat produced by the decomposition of 6.33 moles of KClO3 is:
q = nΔHrxn = (6.33 mol)(-89.4 kJ/mol) = -566 kJ
3. To solve this problem, we need to use the ideal gas law to calculate the volume of O2 produced. First, we convert 307 g of KClO3 to moles:
n = m/M = 307 g / 122.55 g/mol = 2.50 mol KClO3
Using the stoichiometry of the balanced equation, we can see that 2 moles of KClO3 produce 3 moles of O2. Therefore, 2.50 moles of KClO3 produce (3/2 x 2.50) = 3.75 moles of O2. Now we can use the ideal gas law to calculate the volume of O2 produced:
PV = nRT
V = nRT/P = (3.75 mol)(0.08206 L·atm/mol·K)(305.15 K)/(723 torr/760 torr/atm) = 8.59 L
4. The heat produced by the decomposition of 307 g of KClO3 is:
n = m/M = 307 g / 122.55 g/mol = 2.50 mol KClO3
q = nΔHrxn = (2.50 mol)(-89.4 kJ/mol) = -223 kJ
5. We can use the equation q = mcΔT to calculate the final temperature of the water. First, we need to calculate the heat capacity of the water:
C = mc = (74.2 L)(1.00 kg/L)(4.18 J/g·K) = 310 kJ/K
Now
Step-by-step explanation: