Answer
The rate of heat lost through transpiration is $23.3~W$
Work Step by Step
We can find the heat required to evaporate 618 mg of water:
$Q = m~V$
$Q = (0.618~g)(2260~J/g)$
$Q = 1396.7~J$
We can find the rate of heat lost through transpiration:
$P = \frac{Q}{t} = \frac{1396.7~J}{60~s} = 23.3~W$
The rate of heat lost through transpiration is $23.3~W$