[thsksbd]

Simple in the sense that high school chemistry/math is all you really need + definition of COP. Its a few steps.

1. You need to get your pump's COP vs T from the manufacturer. This is the hardest part.

2. Now find out what chemistry is used for your mains power (nat gas, coal, etc).

3. Assume (or get) the efficiency of your furnace as COP = 0.9

4. Calculate for each delta T how much input each heating Joule of energy takes both methods.

5. Calculate the cost of each Joule for each method at each T. If you are charged electricity based on consumption, use the marginal rate.

For CO2 emission:

6. Apply the appropriate generation/transmission loss for electricity.

6. Calculate the CO2 from chemistry.