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Specific Heat and Temperature of Mixtures Calculator

Specific Heat and Temperature of Mixtures Equations and Calculator

When substances are mixed the specific heat and temperature of the substances reach an equilibrium on temperature and Specific Heat.

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If w₁ lb of a substance at temperature t₁ and with specific heat c₁ is mixed with w₂ lb of a second substance at temperature t₂ and with specific heat c₂ , provided chemical reaction, heat evolution, or heat absorption does not occur, the specific heat of the mixture is

Eq. 1

${\displaystyle c_m=\frac{w_1{c}_1+w_2{c}_2}{w_1+w_2}}$

and the temperature of the mixture is

Eq. 2

${\displaystyle c_m=\frac{w_1{c}_1{t}_1+w_2{c}_2{t}_2}{w_1{c}_1+w_2{c}_2}}$

In general,

Eq. 3

${\displaystyle t_m=\frac{\mathrm{\Sigma <!--\; \Sigma \; -->}wct}{\mathrm{\Sigma <!--\; \Sigma \; -->}wc}}$

To raise the temperature of w₁ lb of a substance having a specific heat c₁ from t₁ to t_m, the weight w₂ of a second substance required is

Eq. 4

${\displaystyle w_2=\frac{w_1{c}_1(t_m-<!--\; -\; -->t_1)}{c_2(t_2-<!--\; -\; -->t_m)}}$

${\displaystyle }$Source:

Marks Standard Handbook for Mechanical Engineers

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