Recall:

$\overline{){\mathbf{q}}{\mathbf{=}}{\mathbf{mc}}{\mathbf{\u2206}}{\mathbf{T}}}$

where m = mass in g

c = heat capacity in J/g°C

ΔT = change in temperature

**Isolating c (heat capacity):**

$\frac{\mathbf{q}}{\mathbf{m}\mathbf{\u2206}\mathbf{T}}{\mathbf{=}}\frac{\overline{)\mathbf{m}}\mathbf{c}\overline{)\mathbf{\u2206}\mathbf{T}}}{\overline{)\mathbf{m}\mathbf{\u2206}\mathbf{T}}}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\overline{){\mathbf{c}}{\mathbf{=}}\frac{\mathbf{q}}{\mathbf{m}\mathbf{\u2206}\mathbf{T}}}$

The heat capacity of water is **4.186 J/g°C**.

An average rock has a heat capacity of **2.0 J/g°C**.

Suppose you are cold-weather camping and decide to heat some objects to bring into your sleeping bag for added warmth. You place a large water jug and a rock of equal mass near the fire. Over time, both the rock and the water jug warm to about 38 ^{o}C (100 ^{o}F). If you could bring only one into your sleeping bag, which one should you choose to keep you the warmest?

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