An iron sphere of diameter 5 cm , initially at a uniform temperature of 225 ° C , has its surface suddenly exposed to an

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An iron sphere of diameter 5 cm , initially at a uniform
temperature of 225 ° C , has its surface suddenly exposed to an
ambient temperature of 25 ° C with a heat transfer coefficient of
500 W / m² K. Calculate ( a ) the centre temperature 2 min after
the start of cooling . ( b ) the temperature at a depth I cm from
the surface 2 min after the start of cooling and ( c ) the energy
removed from the sphere during this time . For iron , take k = 60
Wink p = 7850 kg / m³.c = 460 J / kg K and a = 1.6 x 10-5 m² / s
.