Three liquids are at temperatures of 6 ◦C, 23◦C, and 38◦C, respectively. Equal masses of the first two liquids are mixed, and the equilibrium temperature is 13◦C. Equal masses of the second and third are then mixed, and the equilibrium temperature is 26.8 ◦C. Find the equilibrium temperature.

The equilibrium temperature is T13=3.12 ◦C

Explanation:

Given

The temperature of liquids: T1=6◦C, T2=23◦C, T3=38◦C

The temperature of 1+2 liquids mix: T12= 13◦C.

The temperature of 2+3 liquids mix: T23=26.8 ◦C.

The temperature of 1+3 liquids mix: T13= ??

1.When the first two liquids are mixed:

2.When the second and third liquids are mixed:

3.When the first and third liquids are mixed:

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