The exchange of deuterium between acid and water is an important type of equilibrium, and we can examine it using spectroscopic data on the molecules. Calculate the equilibrium constant at

(a) 298 K and

(b) 800 K for the gas-phase exchange reaction HzO + DCl ( HDO + HCl from the following data: v(H20)/cm-1 = 3656.7,1594.8,3755.8; v(HDO)/cm-1 = 2726.7,1402.2, 3707.5;A(Hp)/cm-1 = 27.88; B(Hp)/cm-1 = 14.51; C(Hp)/cm-1 = 9.29;A(HDO)/cm-1 = 23.38; B(HDO)/cm-J = 9.102; C(HDO)/cm-1 = 6.417; B(HCl)/cm-1 = 10.59; B(DCI)/cm-1 = 5.449; v(HCI)/cm-1 = 2991; v(DCl)/cm-1 = 2145.