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Thermal Equilibrium

Two bodies A,...

Question

Two bodies A, B and bodies B, C are in thermal equilibrium with each other. If the temperature of A and B is $45^{\circ} C$ , then the temperature of C is $45^{\circ} C$ . Explain.

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Solution

According to zeroth law of thermodynamics, if two thermodynamic systems are in thermal equilbrium with a third one individually, then they are in thermal equilibrium with each other.
Accordingly, thermal equilibrium between systems is transitive relation. So, If A, B and B, C are in thermal equilbrium & temperature of A is given as $45^{\circ} C$ , then C must be at $45^{\circ} C$ temperature as well.

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