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What is a mathematical equation to predict the final temperature of a mixture of hot and cold water?
Wiki User
∙ 14y ago
The sum of the heat flows from each quantity of water = zero. Or heat lost by Hot water = Heat gained by cold water; Heat lost by hot water is MC(Ti - Tf) Heat gained by cold water is; mC(Tf - ti) M = mass of hot water, m= mass of cold water, Ti = initial tenperature of hot water, ti = initial temperature of cold water, C = specific heat of water, Tf final temp of both waters. mC(Tf - ti) = MC(Ti -Tf)) Tf(m + M) = mti + MTi Tf = (mti + MTi)/(m + M)
Wiki User
∙ 14y ago
Wiki User
∙ 11y agoIf the masses of water are equal, as you say, then this is just a problem in finding the average temperature. Add the temperatures together and divide by 2, to get the average. Or if you have 3 equal masses, add those together and divide by 3, and so forth.
Wiki User
∙ 13y agoIn this special case the final temperature is the average of the temperatures of the 2 masses. (Ta+Tb)/2
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