Problems are listed in approximate order of difficulty. A single dot (•) indicates straightforward problems involving just one main concept and sometimes requiring no more than substitution of numbers in the appropriate formula. Two dots (••) identify problems that are slightly more challenging and usually involve more than one concept. Three dots (•••) indicate problems that are distinctly more challenging, either because they are intrinsically difficult or involve lengthy calculations. Needless to say, these distinctions are hard to draw and are only approximate.
• (a) How much energy is required to raise the temperature of a mole of an ideal monatomic gas by 1°C at constant volume? Give your answer in J/mol. (b) How much energy is required to raise the temperature of one mole of aluminum by 1°C at room temperature (where the Dulong–Petit law applies)?
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