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

Interactive Image \(\PageIndex{1}\): this does that

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Exercise \(\PageIndex{1}\)

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