It takes 770 joules of energy to raise the temperature of 50.0 g of Mercury by 110°C. What is the specific heat capacity of mercury?

0.14 J/g°C.

Explanation:

To calculate the specific heat capacity of Hg, we use the relation:

The amount of heat absorbed by Hg = Q = m. c.ΔT.

where, m is the mass of Hg (m = 50.0 g).

c is the specific heat capacity of Hg = ? J/g°C.

ΔT is the temperature difference = (final T - initial T = 110.0°C).

∴ The amount of heat absorbed by Hg = Q = m. c.ΔT = 770.0 J.

∴ 770.0 J = (50.0 g) (c) (110.0°C).

∴ c = Q/m.ΔT = (770.0 J) / ((50.0 g) (110.0°C) = 0.14 J/g°C.