Given that 242.2J of energy is required to heat 81.6g of copper from 27.5°C to 35.2°C, find the specific heat of copper.

c = 0.39 J/g.°C

Explanation:

Given data:

Energy required = 242.2 J

Mass of copper = 81.6 g

Initial temperature = 27.5°C

Final temperature = 35.2°C

Specific heat capacity of copper = ?

Solution:

Specific heat capacity:

It is the amount of heat required to raise the temperature of one gram of substance by one degree.

Formula:

Q = m.c. ΔT

Q = amount of heat absorbed or released

m = mass of given substance

c = specific heat capacity of substance

ΔT = change in temperature

ΔT = 35.2°C -  27.5°C

ΔT = 7.7°C

242.2 J = 81.6 g ×c ×  7.7°C

242.2 J / 81.6 g = c ×  7.7°C

c = 3 J/7.7g.°C

c = 0.39 J/g.°C

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