Do you know how much energy you'd need for that amount of dry air? If you can derive the Mixing Ratio from RH using the partial pressure of the water vapor present at a given RH, you can calculate the actual amount of water in a given sample. (I don't know these relations offhand. If you do, you're ahead of me). From that you could assume you'd need 1 cal/gram of energy to heat the water, plus the energy you'd need to heat the same volume of completely dry air. A place to start looking, at any rate.
If you do a search on them you can find one that you can download. You could buy pads of them in the past but I don't know if they are still available.
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An elephant is a mouse built to government specifications.