So the change in energy of the gold is
where
is the specific heat capacity,
is the mass,
is the initial temperature, and
is the final temperature.
First we have to make sure that the units are right. There are 453.6 grams in a pound, so converting the 37.5 lbs to grams, we have
To convert Fahrenheit to Kelvin, you use
so 21.1° F is 267.1 K.
Since K and Celsius degrees are the same size, we can use these temperatures in our equation above.
Substituting these numbers in, it becomes
There are 4.184 Joules in 1 calorie, so this means