Answer to Question #117525 in Chemistry for riley

Question

What is the final temperature of a 100. g sample of iron when it loses 2.0 kJ of heat if the initial temperature was 80.0 °C?

Answer 1

According to the heat equation:

Q = m × c × ∆T = m × c × (T₂ - T₁)

where Q - amount of heat, m - mass, c - specific heat, ∆T - change in temperature.

From here:

T₂ = [Q / (m × c)] + T₁

As c_iron = 0.450 J/g °C:

T₂ = [- 2.0 kJ / (100.0 g × 0.450 J/g °C)] + 80.0 °C) = 36.0 °C

Answer: 36.0 °C