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# (Solved): A tile-iron consists of a massive plate maintained at 150\deg C by an imbedded electrical heater. T ...

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.

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