1.2 kg of gold at 300 K comes in thermal contact with 2.3 kg of copper at 400 K. The specific heats of gold (Au) and copper (Cu) are 126 J/kg·K and 386 J/kg·K, respectively. What equilibrium temperature do they reach?

To find the equilibrium temperature between gold and copper, we use the principle of thermal equilibrium and the equation (m1*c1*ΔT1) + (m2*c2*ΔT2) = 0. Solving this equation will give us the equilibrium temperature.

Explanation:

To find the equilibrium temperature, we can use the principle of thermal equilibrium, which states that when two objects in thermal contact reach equilibrium, the heat gained by one object is equal to the heat lost by the other. We can use the equation:

(m1 * c1 * ΔT1) + (m2 * c2 * ΔT2) = 0

Here, m1 and m2 are the masses of gold and copper respectively, c1 and c2 are their specific heats, and ΔT1 and ΔT2 are the changes in temperature.

Plugging in the given values, we get:

(1.2 kg * 126 J/kg-K * ΔT1) + (2.3 kg * 386 J/kg-K * ΔT2) = 0

Solving this equation will give us the equilibrium temperature.

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