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This is an HVAC mechanical engineering question on a document from a manufacture where they convert units of electrical energy to therms of natural gas.

Carrier has writeups for building energy simulation modeling, and this link is a PDF for a writeup using the HAP software.

Question: The example on page 2 as a high level feasibility they convert units of NG to kWh:

In a certain locale the price for electricity is 0.0960 dollar per killowatt hour and the cost of natural gas is 0.937 dollar per therm. If we convert the gas price to use units of kWh, we get a gas price of 0.0320 $/kWh. Therefore a kWh of electricity is three times as expensive as a kWh of natural gas. If the average annual COP of the DHRC is more than three times that of the gas boiler, then heating cost will be reduced by using the DHRC. If the COP of the DHRC is less than three times that of the boiler, heating cost will increase. Note: This is a single example for illustration. Energy prices vary widely by location and over time. You should use your own local utility prices to assess heat recovery viability for your projects.

I know 1 therm = 29.3001 kWh or 1 kWh = 0.03413 therm.

But what’s the math behind coming up with “convert the gas price to use units of kWh, we get a gas price of 0.0320 $/kWh”?

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  • $\begingroup$ 0.03414*0.937=~0.032 $\endgroup$ Commented Jan 2, 2020 at 17:45

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I think the problem is just that you're expecting the solution to be more elegant; it looks like you already have it pretty much figured out.

equation with terms dropped out

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