Specific Heat Capacity

Question

If the temperature of a 95.0 g metal block increased from –10.0 °C to 42.7 °C on absorbing 923 J of heat, then what is the specific heat capacity of the metal? What is the heat capacity of the metal block? (5)



Cs of metal (J/g·°C): __________________ C of block (J/°C): __________________

Answer 1

Q = mC∆T

Q = heat energy = 923 J

m = mass =95.0 g

C = specific heat capacity = ?

∆T = change in temperature = 42.7 - (-10.0) = 52.7ºC

C = Q/(m)(∆T) = 923 J/(95.0g)(52.7ºC) = 0.184 J/g/degree

Heat capacity is the heat required divided by the change = 923 J/52.7º = 17.5 J/degree