Answer
2.0 grams of water are lost through transpiration after one hour.
Work Step by Step
We can find the total amount of energy that is lost in one hour:
$Q = P~t = (250~W/m^2)(0.005~m^2)(3600~s) = 4500~J$
We can find the amount of water that is lost after one hour:
$Q = m~V$
$m = \frac{Q}{V}$
$m = \frac{4500~J}{2260~J/g}$
$m = 2.0~g$
2.0 grams of water are lost through transpiration after one hour.