59.

(a) Recalling that a change in Kelvin temperature is numerically equivalent to a change on the Celsius

scale, we find that the rate of heat conduction is

P

cond

=

kA(T

H

− T

C

)

L

=

(401 W/m

·K)(4.8 × 10

−4

m

2

)(100 C

◦

)

1.2 m

=16 J/s .

(b) Using Table 19-4, the rate at which ice melts is

dm

dt

=

P

cond

L

F

=

16 J/s

333 J/g

= 0.048 g/s .