Answer
The rate of heat loss due to panting is $252~W$
Work Step by Step
We can find the mass of water that evaporates in one minute:
$m = (0.010~g)(670) = 6.7~g$
We can find the heat required to evaporate 6.7 grams of water:
$Q = m~V$
$Q = (6.7~g)(2260~J/g)$
$Q = 15,142~J$
We can find the rate of heat lost through panting:
$P = \frac{Q}{t} = \frac{15,142~J}{60~s} = 252~W$
The rate of heat loss due to panting is $252~W$
