Question

A 4.0 kg copper skillet must be heated from room temperature (23.0 C) to a temperature of 130.0 degrees Celsius. If the specific heat of copper is 0.3851 J/g. Degrees Celsius, how many Joules of heat are required?

Answer 1

mass of copper = 4.0 kg = 4000 g;

T₁ = 23℃;

T₂ = 130℃;

change in temperature = ΔT = T₂ - T₁ = 130℃ - 23℃ = 107℃;

specific heat of Cu = c = 0.3851 J/g ℃.

Solution:

The relationship between specific heat capacity (c), energy in joules (q), mass in grams (m) and temperature change (ΔT) express as a mathematical equation:

q = m × c × ΔT

Then,

q = m(Cu) × c(Cu) × ΔT = (4000 g) * (0.3851 J/g ℃) * (107℃) = 164822.8 J = 164.82 kJ

q = 164.82 kJ

Answer: 164822.8 Joules of heat are required.