Answer :
Answer:
- 85ºC
Explanation:
Assume that all the heat released by the boiling water is absorbed by the ice.
1. Heat released by the 100 mL liquid boiling water
- 100 mL × 100g/mL = 100g
- Q = mass × specific heat × ΔT
- Q = 100g × 4.186J/g × (100ºC - T)
2. Heat absorbed by the 25 g of ice
a) Heat to melt the ice
- Assume the initial temperature of ice is 0ºC
- Heat to melt the ice = latent fusion heat × mass
- L = 334J/g × 25g = 8,350J
b) Heat to increase of liquid water from 0ºC until the equilibrium temperature
- Q = mass × specitif heat × ΔT
- Q = 25g ×4.186J/g × (T - 25ºC)
3. Set your final equation:
- 100g × 4.186J/g × (100ºC - T) = 25g ×4.186J/g × (T - 25ºC)
Solve:
- 41,860 - 418.6T = 104.25T - 2,616.25
- 523.25T = 44,476.25
- T = 85ºC