Q$2(10$p$)$

Material properties for four different cases $($i$.$e$.$ different materials or different temperatures$)$ are given in the table below. Time$-$dependent behaviors of these four cases in heat conduction are to be estimated. a$)$ Please estimate; which case could have the largest time$-$dependency?; b$)$ Please estimate; which case could have the smallest timedependency?; c$)$ Which additional parameters$/$inputs are needed here to calculate Biot $(Bi)$ number for assessment of lumped capacitance method of each case?; d$)$ Which additional parameters$/$inputs are needed here to calculate Fourier $(FO)$ number for transient heat transfer process of each case?

$\backslash$table$[[,(k\frac{g}{m^3}),c_p(k\frac{J}{k}g.K),k(\frac{W}{m^2}K)$