How many liters of water at 95 degrees Celsius need to be added to 30 liters of water at 25 degrees

How many liters of water at 95 degrees Celsius need to be added to 30 liters of water at 25 degrees Celsius to get water at a temperature of 67 degrees Celsius?

To find the volume of added hot water, we will use the heat balance equation: C * ρ * Vt * (tr – tt) = C * ρ * Vg * (tg – tp) and Vg = Vt * (tr – tt) / (tg – tp ).

Variables: Vt – the volume of warm water (Vt = 30 l); tр – equilibrium temperature (tр = 67 ºС); tт – temperature of warm water (tт = 25 ºС); tg – temperature of very hot water (tg = 95 ºС).

Calculation: Vg = Vt * (tr – tt) / (tg – tr) = 30 * (67 – 25) / (95 – 67) = 45 hp.

Answer: It is required to add 45 liters of very hot water.