Changing temperatures

How much energy is required to raise a substance a certain number of degrees?

The answer is, "It depends on the substance."  Some things, like water, can absorb a lot of heat and only change temperature a few degrees. That is why we use it in the radiators of our cars.  Other substances show a large increase in temperature for the same amount of heat.  The amount of heat a substance requires to raise it one degree is called the specific heat or heat capacity.  Here are the heat capacities of some common substances.

Substance Specific heat or Heat capacity
Water (liquid) 4.184 J/g ° C  ( 1.00 cal/ g ° C)
Aluminum (solid) 0.90 J/g ° C  ( 0.215 cal/ g ° C)
Copper (solid) 0.385  J/g ° C  ( 0.092 cal/ g ° C)
Iron (solid) 0.442  J/g ° C  ( 0.106 cal/ g ° C)
Water (solid) also called ice 2.089  J/g ° C  ( 0.499 cal/ g ° C)

 

Sample Problem:  How much energy is required to raise a cup of water (250 grams) 50 ° C?

Use the equation

Where m is mass in grams, SH is the specific heat and ΔT is the change in temperature.