Temperature 1 in Celsius = 689
Thickness of Palladium Sheet in mm = 2.0
Area of Palladium sheet (m²) = 0.41
Thickness of Sheet of Steel (mm) = 2.24
Diffusion Flux (kg m²-s) = 3.96 × 10⁻⁷
Temperature 2 in Celsius = 933

Calculate the value of the diffusion coefficient D (in m²/s) at Temperature 1 shown above, for the diffusion of some species in a metal; assume that the values of D₀ and Qₑ are 5.6 × 10⁻⁵ m²/s and 177 kJ/mol, respectively.