If it takes 10.0 kJ of heat to raise the temperature of 100.0g if a substance by 50°C, what is the specific heat of the substance?

2.0 J/g°C

Explanation:

We are given;

Quantity of heat as 10.0 kJ Mass of the substance as 100 g Temperature change is 50°C

We are required to calculate the specific heat capacity of the substance;

We need to know that the quantity of heat gained by a substance is given by;

Quantity of heat = Mass * specific heat * change in temperature

That is;

Q = mcΔT

Rearranging the formula;

c = Q : mΔT

Therefore;

c = 10000 J : (100.0 g * 50°C)

= 2.0 J/g°C

Thus, the specific heat of the substance is 2.0 J/g°C