# Calculating the change in entropy in a melting process

I have a homework question that I'm completely stumped on and need help solving it.

I have a $50\, \mathrm{g}$ ice cube at $-15\, \mathrm{C}$ that is in a container of $200\, \mathrm{g}$ of water at $25\, \mathrm{C}$. No heat is lost to the surroundings and there is negligible heat loss to the container. I have to find the total change in entropy as a result of the mixing process.

I would assume that I can use $\Delta S = \int \frac{dQ}{T}$, but I'm unsure how to set up the $Q$ portion of the integral. Can I just use $Q=mc\Delta T+mL_f$ for the ice melting process?

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