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COP / electric versus fuel heat

Heat Pump Cost Calculator

Put electricity, natural gas, and heating oil on the same delivered-heat basis so COP and fuel efficiency remain visible.

Enter your numbers

Changes calculate instantly and are written to this page’s URL.

BTU
¢/kWh
$/therm
%
$/gal
%

Residential energy statement

Instant planning estimate · not a utility invoice

heat pump cost
$17.58
Heat-pump electricity
97.7 kWh
Heat-pump energy cost
$17.58
Natural gas cost
$16.67
Heating oil cost
$33.98

How the heat pump cost calculator works

A heat pump moves heat rather than creating it by resistance, so its electricity use depends on coefficient of performance. This calculator converts a delivered heating load from BTU to kWh, divides by COP, and compares the energy cost with gas and oil at entered efficiencies.

Electric kWh=required heat BTU3,412.142×COP\text{Electric kWh} = \frac{\text{required heat BTU}}{3{,}412.142 \times \text{COP}}
Inputs remain visible in the calculator above, and display values are rounded only after calculation.

One kWh equals 3,412.142 BTU. Dividing delivered BTU by that constant gives thermal kWh; dividing again by COP gives heat-pump electricity. A COP of 3 means three units of useful heat per unit of electricity.

Gas input equals delivered heat divided by furnace efficiency. Therms are 100,000 BTU. Oil input divides by equipment efficiency and about 138,500 BTU per gallon.

COP changes with outdoor temperature and supply-water or air temperature. Seasonal performance data or a temperature-bin model is better than one COP for a final design.

Worked example

Delivering 34,121 BTU is 10 thermal kWh. At COP 2, the heat pump uses 5 kWh. At 20¢/kWh, that delivered heat costs $1.00.

How to read the result

Compare the same delivered heat and include all fuel charges that vary with use. Fixed gas service fees can change the economics if electrification allows the account to close.

Planning inputs are deliberately editable because two homes in the same state can have different tariffs, roof conditions, equipment, and operating schedules. Save a scenario with “Copy link,” then change one assumption at a time. This makes the result useful for comparing decisions without implying false precision.

Common questions

What is heat pump COP?
It is useful heat delivered divided by electric energy input at a stated condition.
How many BTU are in one kWh?
One kWh equals approximately 3,412.142 BTU.
Is a heat pump cheaper than gas?
It depends on COP, electricity price, gas price, furnace efficiency, and fixed service charges.
Does COP stay constant in winter?
No. It commonly falls as outdoor temperature drops, though equipment designs differ.

Sources

Formulas and defaults are documented in our data method. The principal references for this page are:

  1. U.S. Department of Energy — Air-Source Heat Pumps (2025)Heat-pump operation and performance context.
  2. NIST — Guide for the Use of the International System of Units (2008)Energy-unit conversion basis.
  3. EIA — Units and calculators explained (2025)Therm and fuel-energy conversions.

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