# Water

Mix 68 l of water with temperature of 87 °C, 17 l warm of 42 °C and 55 l water of 50 °C.

What is the temperature of the mixed water immediately after mixing?

Result

t =  67 °C

#### Solution:

$V_{ 1 } = 68 \ l \ \\ V_{ 2 } = 17 \ l \ \\ V_{ 3 } = 55 \ l \ \\ \ \\ t_{ 1 } = 87 \ ^\circ C \ \\ t_{ 2 } = 42 \ ^\circ C \ \\ t_{ 3 } = 50 \ ^\circ C \ \\ \ \\ t = \dfrac{ V_{ 1 } \cdot \ t_{ 1 }+V_{ 2 } \cdot \ t_{ 2 }+V_{ 3 } \cdot \ t_{ 3 } }{ V_{ 1 }+V_{ 2 }+V_{ 3 } } = \dfrac{ 68 \cdot \ 87+17 \cdot \ 42+55 \cdot \ 50 }{ 68+17+55 } = 67 = 67 ^\circ C$

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