A sparsely planted forest is likely to have small scale fires while a densely packed one has the potential to burn completely — this shift is called a phase transition.

If \(70.0 \text{ g}\) of steam at \(100.0^\circ\text{C}\) is mixed with \(350.0 \text{ g}\) of ice at \(0.0^\circ\text{C},\) in a thermally isolated container, what is the approximate temperature of the mixture at equilibrium?

The specific heat of water is \(c_w=4187 \text{ J/kg}\cdot\text{K},\) and the latent heat of fusion and vaporization of water are \(L_f=333 \text{ kJ/kg}\) and \(L_v=2336 \text{ kJ/kg},\) respectively.

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