An insulated container, there are two fluid with specific heat capacities $$c1$$ and $$c2$$ , separated by insulating barrier. Liquid temperatures are different. The partition is removed and after the establishment of thermal equilibrium, the difference between initial temperature of first liquid and temperature established in the vessel is two times smaller than the difference between the initial temperatures of liquids. Find the mass ratio of the first and second fluid.

Question

An insulated container, there are two fluid with specific heat capacities  $$c1$$ and $$c2$$ , separated by insulating barrier. Liquid temperatures are different. The partition is removed and after the establishment of thermal equilibrium, the difference between initial temperature of first liquid and temperature established in the vessel is two times smaller than the difference between the initial temperatures of liquids. Find the mass ratio of the first and second fluid.

Infinity Learn · Accepted Answer

$$T1$$−$$T0=T1$$−$$T22$$⇒$$T0=T1+T22$$ Also, $$m1c1T1$$−$$T0=m2c2T0$$−$$T2$$⇒$$m1c1T1$$−$$T22=m2c2T1$$−$$T22$$⇒$$m1m2=c2c1$$

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