liquid has constant coefficient of thermal expansion and isothermal compressibility, a_V = 2.37 × 10^-3 K^-1 and k_T = 3.54 × 10^-5 bar^-1. The molar volume of the compound at T = 300 K and P = 1 bar is V = 0.100 L/mol, and its heat capacity can be modeled as constant at C_V = C_P = 27.5 J/mol · K. This liquid is stored in tank that has a “floating top.” Thus, when the temperature changes, causing the liquid to expand or contract, the container expands or contracts. For each of the processes given, the tank initially has V = 30 m³, T = 300 K, and P = 1 bar.

A. The “floating top” works properly, maintaining the tank at a constant pressure. 5000 kJ of heat are added to the tank. Find the final temperature and volume.

B. The “floating top” malfunctions, such that the container is effectively rigid at V = 30 m³. 5000 kJ of heat are added to the tank. Find the final temperature and pressure.