Two identical bodies, each characterized by the same heat capacity at constant volume of c, which is independent of temperature, are used as high and low temperature heat "reservoirs" for a heat engine. the bodies remain at constant volume and undergo no change of phase. initially, their temperatures are ti and t, respectively; finally, as a result of the operation of the heat engine, the bodies will attain a common final temperature t a) what is the total amount of work w done by the engine? express your answer in terms of c, ti, t, and tb) use arguments based on entropy considerations to derive an inequality relating tr to the initial temperatures ti& t c) for given values of ti& t: what is the theoretical maximal amount of work w attainable from the engine allowed by the 2nd law of thermodynamics? express your answer in terms of c,