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On a hot summer day you and some friends decide you want to cool down your pool. Determine the mass of ice you would need to add to bring the equilibrium temperature of the system to 300K. The pool contains 400,000 L (at a density of 1 kg/L) of water initially at 305K. Assume the ice is at 0°C (273K), the heat capacity of water is 4.2 J/(g*K), and the enthalpy of melting ice is 333 kJ/kg.
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