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Have you looked at Prausnitz "Properties of Liquids and Gases"? Doubt they have it, but it's possible. How exact of a number do you need? I would think you could do what kutulu suggests, or take the flux form of the heat transfer equation. I think most conductivity meters work with a known amount of flux and two thermal couples to measure the temp. gradient. With your sample size, you may be better off using kutulu's suggestion.
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