Find the change in the internal energy of of water as it is heated from to

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

Problem

Find the change in the internal energy of 2 kg2\text{ kg} of water as it is heated from 0∘C0^{\circ}\text{C} to 4∘C4^{\circ}\text{C}. The specific heat capacity of water is 4200 J kg−1K−14200\text{ J kg}^{-1}\text{K}^{-1} and its densities at 0∘C0^{\circ}\text{C} and 4∘C4^{\circ}\text{C} are 999.9 kg m−3999.9\text{ kg m}^{-3} and 1000 kg m−31000\text{ kg m}^{-3}, respectively. Atmospheric pressure is 105 Pa10^5\text{ Pa}.

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