Calculate the equilibrium constant at T = 383K for the isotopic exchange reaction: H2 + D2 2HD. Assume that the ground electronic states of all molecules have the same energy and are not degenerate and that all bond vibrations are harmonic oscillators with the same force constant (but different frequencies). Use as input the vibrational frequency of HD: n = 3770 cm-1 and the masses of H (1.0) and D (2.0).