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QUESTION

# A chunk of silver has a heat capacity of 42.8 J/°C and a mass of 181 g. How do you calculate the specific heat of silver?

is defined as J//(K*kg) or J*K^-1*kg^-1 (=energy per degree per kilogram of mass)

So you just divide heat capacity of the object by the mass:

c_"silver"=(42.8J//K)/(0.181kg)~~236J/(K*kg)

Extra : Officially, specific heat is defined as the amount of energy needed to raise the temperature of 1kg by 1K. Since a temperature difference of 1K is equal to one of 1^oC this is no problem. Since the SI-unit of mass is kg in stead of g the official answer should be: 236J//(K*kg) or 236J*K^-1*kg^-1 But most people use the earlier notation of J//g*^oC which will turn out to be 0.236J//g*^oC