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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 w_{1} lb of a substance at temperature t_{1} and with specific heat c_{1} is mixed with w_{2} lb of a second substance at temperature t_{2} and with specific heat c_{2} , provided chemical reaction, heat evolution, or heat absorption does not occur, the specific heat of the mixture is

Eq. 1

$c}_{m}=\frac{{w}_{1}{c}_{1}+{w}_{2}{c}_{2}}{{w}_{1}+{w}_{2}$and the temperature of the mixture is

Eq. 2

$c}_{m}=\frac{{w}_{1}{c}_{1}{t}_{1}+{w}_{2}{c}_{2}{t}_{2}}{{w}_{1}{c}_{1}+{w}_{2}{c}_{2}$In general,

Eq. 3

$t}_{m}=\frac{\mathrm{\Sigma}wct}{\mathrm{\Sigma}wc$To raise the temperature of w_{1} lb of a substance having a specific heat
c_{1} from t_{1} to t_{m}, the weight w_{2} of a second substance required is

Eq. 4

$w}_{2}=\frac{{w}_{1}{c}_{1}({t}_{m}-{t}_{1})}{{c}_{2}({t}_{2}-{t}_{m})$$}$Source:

Marks Standard Handbook for Mechanical Engineers

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