I need a formula to calculate the cold temperature on a mixing valve system when given the hot temp, mixing percentage, and mixed temp. I can determine the hot and mixed temps with temp probes, but the cold temp has to be calculated.
2026-03-26 06:33:33.1774506813
Calculating cold temp on mixing valve
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Use conservation of energy. Energy given by a quantity $m_H$ of hot water while cooling is proportional to $(T_H-T_M)\cdot m_H$, while the energy absorbed bu the cold water is $(T_M-T_C)\cdot m_C$. Then $$(T_H-T_M)\cdot m_H=(T_M-T_C)\cdot m_C\\T_C=T_M-(T_H-T_M)\frac{m_H}{m_C}$$