Problems and Exercises (a lot of these use partial derivatives!) Source: Heat and Thermodynamics, M. W. Zemansky and R. H. Dittman 1. A mass of mercury at STP is kept at constant volume. If the temperature is raised to 10°C, what will be the final pressure? From tables of physical constants, B and 2 of mercury remain practically constant within the above stated temperature range, B = 181 x 10’K’ and x = 3.82 x 10″ Pa’ 2. A metal whose volume expansivity is 5 x 10’K’ and isothermal compressibility is 1.2 x 10″Pa’is at a pressure of 10 x 10 Pa and a temperature of 20°C. A thick surrounding cover of invar, of negligible expansivity and compressibility, fits it very snugly. (a) What will be the final pressure if the temperature is raised to 32°C? (6) If the surrounding cover can withstand a maximum pressure of 1.2 x 10′ Pa, what is the highest temperature to which the system can be raised? 3. A block of the same metal (see problem #2) is at a pressure of 1.0 x 10′ Pa, a volume of 5 liters, and a temperature of 20°C undergoes a temperature rise of 12°C and an increase in volume of 0.5 cm. Calculate the final pressure.