Chemistry: Equilibrium Math Question 6

Question

Determine the equilibrium vapor pressure of germanium metal at 508.0 C. The standard enthalpy of vaporization of germanium is 376.6 kJ/mol and the vapor pressure at 100 C is 1.6E-32 Pa. Be sure to express your final answer in Pa.

Answer 1

Are you sure that the vapor pressure is 1.6E-32 Pa? That doesn't seem right, and before I go ahead and conduct all the lengthy calculations, I wanted to be certain of the values. You can use the Clausius Clapeyron equation as follows:

ln (P1/P2) = ∆H_vap/R (1/T2 - 1/T1)

P1 = ?

T1 = 508 + 273 = 781K

P2 = 1.6E-32 Pa (????)

T2 = 100 + 273 = 373K

∆H_vap = 376.6 kJ/mol = 376600 J/mol (use joules not kjoules)

R = 8.314 J/mol-K

Plug in the values and solve for P1