Specific Heat Capacity – Mixture Problems
Name: _____________________________
1. A mixture is made by adding 0.100 kg of water at 95.0 °C to some water at 5.00 °C. The
final temperature of the mixture is10.0°C. Determine:
a) the heat lost by the hot water.
b) the heat gained by the cold water.
c) the mass of the cold water.
2. 1.00 kg of water at 80.0 °C is added to 2.00 kg of water a 50.0 °C. What is the final
temperature of the mixture?
3. A piece of aluminum at 14.0 °C is dropped into 5.00 kg of antifreeze at 53.0 °C. If the
final temperature of the mixture is 308 K, find the mass of the aluminum.
4. 5.00 kg of ethanol at 75.0 °C is added to 2.00 kg of water at 30.0 °C. Find the final
temperature of the mixture.
5. A solid object with a mass of 5.00 kg at a temperature of 88°c is placed into 8.88 kg of
methanol at 0°C. The final temperature of the mixture is 8.00 °C. Find the specific heat
of the object and identify it.
6. How much helium at 4.00 °C do you need to add to 20.0 kg of hydrogen at 60.0 °C to
produce a temperature change of -30.0 °C? The specific heat of helium is
5193 kJ/kg°C.
7. Starting with 10.0kg of ice at-20.0 °c, we add 3.28 kg of an unknown substance at
25.0°C. The final temperature of the mixture is -15.0 °C. What is the unknown
substance?
8. What is the temperature change produced in 5.0 kg of uranium if 10.0 kg of oxygen at
0.60 °C is passed over it? The final temperature of the oxygen is 6.00 °C.
̅ °C and filled with sand at 20.0 °C. If the final
9. A 𝟓𝟎𝟎 g glass is heated to 𝟏𝟓𝟎
temperature of the mixture is 50.0 °C, what was the mass of the sand?