A block of ice at is dropped into of water at contained in a perfectly insulated vessel

PHYSICS · Subjective · AP · Physics 2: Algebra-based · Thermodynamics · Thermodynamics

Problem

A 50 g50\,\text{g} block of ice at 0 ∘C0\,^{\circ}\text{C} is dropped into 200 g200\,\text{g} of water at 30 ∘C30\,^{\circ}\text{C} contained in a perfectly insulated vessel. Assuming no heat loss to the surroundings, calculate the final temperature of the mixture. \newline\newline (Take cwater=4200 J kg−1K−1c_{\text{water}} = 4200\,\text{J kg}^{-1}\text{K}^{-1} and Lfusion=3.34×105 J kg−1L_{\text{fusion}} = 3.34 \times 10^{5}\,\text{J kg}^{-1}.)

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