# 2: Sand Box

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$\begin{array}{l}{\frac{m_{c} \varepsilon_{C}\left(T_{F}-T_{C}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}=c_{H}\left(\frac{-m_{H}\left(T_{F}-T_{H}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}\right)} \\ {c_{H}=\frac{m_{C} \mathcal{C}_{C}\left(T_{F}-T_{C}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}}\end{array}$

this is in $$\begin{array}{l}{\frac{m_{c} \varepsilon_{C}\left(T_{F}-T_{C}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}=c_{H}\left(\frac{-m_{H}\left(T_{F}-T_{H}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}\right)} \\ {c_{H}=\frac{m_{C} \mathcal{C}_{C}\left(T_{F}-T_{C}\right)}{-m_{H}\left(T_{F}-T_{H}\right)}}\end{array}$$ line

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Interactive Image $$\PageIndex{1}$$: this does that

Exercise $$\PageIndex{1}$$