$6-19.$ A liquid has constant coefficient of thermal expansion and isothermal compressibility, ${}_V=2\mathrm{.}37{10}^{-3}{K}^{-1}$ and ${}_T=()-1.$ The molar volume of the compound at $T=300K$ and $P=1$ bar is $V=0\mathrm{.}100\frac{L}{m}ol,$ and its heat capacity can be modeled as constant at $C_V=C_P=27\mathrm{.}5\frac{J}{m}ol*K.$

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 $V=30m^3,T=300K,$ and $P=1$ bar.

A$.$ The "floating top" works properly, maintaining the tank at a constant pressure. $5000kJ$ 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 $V=30m^3\mathrm{.}5000kJ$ of heat are added to the tank. Find the final temperature and pressure.