a vessel is filled completely with liquid water and sealed at 13.56°c and a pressure of 1.00 bar. what is the pressure if the temperature of the system is raised to 82.0°c? under these conditions, pwater 2.04 × 10-4 k-1, bess,-1.42 × 10-4 k-1, and kwater-4.59 × 10-5 bar-1 p3.7 integrate the expression β = 1/v(dv/at)p assuming that β is independent of temperature. by doing so, obtain an expression for v as a function of t and β at constant p p3.8 a mass of 32.0 g of h2o(g) at 373 k is flowed into 295 g of h2o(l) at 310. k and 1 atm. calculate the final tem- perature of the system once equilibrium has been reached. assume that cp m for h2o is constant at its values for 298 k throughout the temperature range of interest. describe the state of the system. p3.9 because (ah/ap)tcph. j-r, the change in enthalpy of a gas expanded at constant temperature can be calculated. to do so, the functional dependence of μ-t on p must be known. treating ar as a van der waals gas, calculate δ h when i mole of aris expanded from 325 bar to 175bar at 375 k. assume that μ-71s independent of pressure and is given by μj-t-[(2a/ rt)-b)/cpm, and cpm-5r/2 for ar. what value would δ h have if the gas exhibited ideal gas behavior? p3.10 derive the following expression for calculating the isothermal change in the constant volume heat capacity: