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4. The heat capacity of liquid water is 4190 J/(kg K). One mole of water has mass 0.018 kg. a. What is the molar heat capacity of water [in J/(mol K)]? b. Using the equipartition theorem, roughly how many active modes does liquid water have to store thermal energy? c. Do you expect a solid metal to have more or fewer degrees of freedom available (relative to liquid water) to store thermal energy? d. If you want to create a coolant, a substance placed in thermal contact with a hot object in order to reduce the hot object's temperature as efficiently as possible, would you use an substance with very many or few available degrees of freedom? Briefly explain your reasoning.