Question

A 716.4g sample of iron is subjected to a temperature change of -33.47°C while releasing 996.6 joules of heat. What is the specific heat capacity of iron?

Answer choices:
29.8 J/g°C
0.04 J/g°C
-0.04 J/g°C
1.39 J/g°C

Answer 1

Specific heat capacity of iron (c) = -0.04 J/g°C

Step-by-step explanation:

Given:

Mass of sample of iron M = 716.4 gram

Change in temperature Δt = -33.47°C

Heat energy Q = 996.6 joules

Find:

Specific heat capacity of iron (c)

Computation:

We know that

Q = McΔt

So,

c = Q / M[Δt]

Specific heat capacity of iron (c) = 996.6 / (716.4)(-33.47)

Specific heat capacity of iron (c) = 996.6 / -23,977.908

Specific heat capacity of iron (c) = -0.0415

Specific heat capacity of iron (c) = -0.04 J/g°C