Plank's equation estimates the freezing time (tf) of an infinite slab of food as tf = [ρ·ΔHf / (Tf - T_inf)] · [P·a / h + R·a² / k], where 'a' is slab thickness, 'h' is surface convective heat transfer coefficient, and 'k' is thermal conductivity of the frozen layer. If the slab thickness 'a' is doubled (2a) while all other thermal properties and boundary conditions remain unchanged, how does the internal conductive resistance term (R·a² / k) change?
- AIt doubles (increases by a factor of 2)
- BIt quadruples (increases by a factor of 4)
- CIt increases eightfold (increases by a factor of 8)
- DIt remains constant because shape factor R is invariant