Question

A 70.0-g piece of copper metal at 54.0 °C is placed in 50.0 g of water at 26.0 °C. If the final temperature of the water and metal is 29.2 °C, what is the specific heat in, J /g °C of copper?

Answer 1

The specific heat in, J /g °C of copper is 0.386J/g°C

HOW TO CALCULATE SPECIFIC HEAT CAPACITY OF A SUBSTANCE:

• The specific capacity of a substance can be calculated using the following formula:

Q = m × c × ∆T

Where;

Q = quantity of heat absorbed or released (J)

m = mass of substance (g)

∆T = change in temperature (°C)

c = specific heat capacity (J/g°C)

For a colorimeter, the following equation applies:

m.c.∆T (water) = - m.c.∆T (metal)

• For water:

m = 50g

c = 4.184 J/g°C

∆T = 29.2 - 26°C = 3.2°C

• For copper:

m = 70g

c = ?

∆T = 29.2 - 54°C = -24.8°C

m.c.∆T (water) = - m.c.∆T (metal)

50 × 4.184 × 3.2 = -(70 × c × -24.8)

669.44 = 1736c

c = 669.44 ÷ 1736

c = 0.386J/g°C

Therefore, the specific heat in, J /g °C of copper is 0.386J/g°C

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