Specific Heat Calculations
1. Aluminum has a specific heat of 0.902 J/g x oC. How much heat is lost when a
piece of aluminum with a mass of 23.984 g cools from a temperature of 415.0 oC
to a temperature of 22.0 oC? 8502 J
2. The temperature of a sample of water increases by 69.5 oC when 24 500 J are
applied. The specific heat of liquid water is 4.18 J/g x oC. What is the mass of
the sample of water? 84.3g
3. 850 calories of heat are applied to a 250 g sample of liquid water with an initial
temperature of 13.0 oC. Find a) the change in temperature and b) the final
temperature. (Remember, the specific heat of liquid water, in calories, is 1.00
cal/g x oC. (a) 3.4 oC, (b) 16.4 oC
4. When 34 700 J of heat are applied to a 350 g sample of an unknown material the
temperature rises from 22.0 oC to 173.0 oC. What must be the specific heat of this
material? 0.66 J/g oC
5. How much heat is lost when a 640 g piece of copper cools from 375 oC, to 26 oC?
(The specific heat of copper is 0.38452 J/g x oC) 85886.4 J
6. The specific heat of iron is 0.4494 J/g x oC. How much heat is transferred when
a 24.7 kg iron ingot is cooled from 880 oC to 13 oC? 9623856.06 J
7. 8750 J of heat are applied to a piece of aluminum, causing a 56 oC increase in its
temperature. The specific heat of aluminum is 0.9025 J/g x oC. What is the mass
of the aluminum? 173.1 g
8. Find the mass of a sample of water if its temperature dropped 24.8 oC when it lost
870 J of heat 8.39 g
9. How many degrees would the temperature of a 450 g ingot of iron increase if
7600 J of energy are applied to it? (The specific heat of iron is0.4494 J/g x oC)
37.58 oC
10. A 250 g sample of water with an initial temperature of 98.8 oC loses 7500 joules
of heat. What is the final temperature of the water? (Remember, final temp =
initial temp - change in temp) 91.62 oC
11. Copper has a specific heat of 0.38452 J/g x oC. How much change in
temperature would the addition of 35 000 Joules of heat have on a 538.0 gram
sample of copper? 1691.9 oC
12. Determine the specific heat of a certain metal if a 450 gram sample of it loses 34
500 Joules of heat as its temperature drops by 97 oC. 0.79 J/g oC
13. 4786 Joules of heat are transferred to a 89.0 gram sample of an unknown material,
with an initial temperature of 23.0 oC. What is the specific heat of the material if
the final temperature is 89.5 oC? 0.809 J/g oC
14. The temperature of a 55 gram sample of a certain metal drops by 113 oC as it
loses 3500 Joules of heat. What is the specific heat of the metal? 0.56 J/g oC