SPECIFIC HEAT CAPACITY
by Eyvind H.

Specific heat capacity is the amount of energy (generally heat) needed to raise the temperture of a 1kg substance by 1°C. The symbol for specific heat capacity is c.

To find a quantity you use a formula. To use the formula you need to know three of these four things:
- The mass of the substance in kg
- The temperature increase or decrease in degrees C
- The amount of energy (in joules) added to the substance
- The specific heat capacity of the substance

c =      energy
     ____________________
     Mass x temp. change




Eg # 1:
A 1.5 kg substance increases in temperature from 20° C to 45° C. The substance has 2500 J of energy added. Find the specific heat capacity of the substance.

c  =  2500/(1.5x25)  =  2500/37.5  =  66.667 J/kg·°C




Eg # 2:
The specific heat capacity of water is 4200 J/kg·°C. You heat 500 g of water and raise its temperature from 15°C to 95°C. Find the energy needed.

The mass is 0.5 kg, and the remperature change is 80 °C. Notice that you have to solve this one backwards, since we're looking for E:

4200 = E/(.5*80)

4200 = E/40

168,000
J = E


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