Section 7.9: Mixed Practice

Practice problems covering Temperature, Heat, Heat Capacity, Specific Heat, Calorimetry, and Latent Heat.

1. A 2 kg block of metal is heated from 25°C to 75°C. If its specific heat capacity is 400 J/kg·°C, calculate the heat absorbed.
2. 50 g of ice at 0°C is mixed with 200 g of water at 25°C. Determine the final temperature of the mixture. (Use Lf = 334 kJ/kg)
3. A 500 g piece of copper (c = 385 J/kg·°C) is heated to 150°C and placed in 1 kg of water at 20°C. Find the final temperature of the water.
4. An electric heater supplies 2000 W to 5 kg of water. Calculate the time needed to raise its temperature by 30°C.
5. Calculate the energy required to convert 100 g of water at 100°C to steam at 100°C. (Lv = 2260 kJ/kg)
6. A calorimeter contains 0.2 kg of water at 20°C. A 0.05 kg hot iron block at 150°C is placed in it. Find final equilibrium temperature. (c_water = 4186 J/kg·°C, c_iron = 450 J/kg·°C)
7. An aluminum plate (2 kg, c = 900 J/kg·°C) is cooled from 100°C to 40°C. Find the heat lost.
8. Steam at 100°C condenses in a 500 g copper container (c = 385 J/kg·°C) holding 1 kg of water at 25°C. Find final temperature.
9. Determine the specific heat of a substance if 500 J raises the temperature of 50 g by 10°C.
10. An ice cube of mass 0.2 kg at -10°C is placed in water at 30°C. Determine the final temperature and amount of melted ice. (c_ice = 2.1 kJ/kg·°C, Lf = 334 kJ/kg)