A tile-iron consists of a massive plate maintained at
150\deg C
by an imbedded electrical heater. The iron is placed in contact with a tile to soften the adhesive, allowing the tile to be easily lifted from the subflooring. The adhesive will soften sufficiently if heated above
50\deg C
for at least 2 minutes, but the temperature should not exceed
120\deg C
to avoid deterioration of the adhesive. Assume the tile and subfloor have the same initial temperature of
25\deg C
and similar thermophysical properties
(k=0.15(W)m^(-1)K^(-1),\rho c=1.5MJm^(-3)K^(-1))
. (A) For a
4-mm
thick tile, determine the time it will take for the adhesive (between the tile and subfloor) to reach a temperature of
50\deg C
. (Hint: the use of the solver in Excel is highly recommended.) (B) What is the temperature of the adhesive if an additional 2 minutes have passed from the initial time in which the adhesive temperature reached
50\deg C
? (C) Determine the total energy transferred (per unit area) from the tile-iron to the tile for the process completed at the end of the time in part B.