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35 g of aluminum at 100∘c are placed in thermal contact with 35 g of copper at 0∘c . the two metals are isolated from the environment.

2 Answers

4 votes

Final answer:

To find the final temperature of the system, we can use the principle of conservation of energy and the equation (m1 * c1 * ΔT1) + (m2 * c2 * ΔT2) = m3 * c3 * ΔT3. By substituting the given values and solving the equation, we can determine the final temperature.

Step-by-step explanation:

The final temperature of the system consisting of the two metal samples and the water can be determined using the principle of conservation of energy. The heat lost by the aluminum and copper is equal to the heat gained by the water. We can use the equation:

(m1 * c1 * ΔT1) + (m2 * c2 * ΔT2) = m3 * c3 * ΔT3

Where m1, c1, and ΔT1 are the mass, specific heat, and temperature change of aluminum, m2, c2, and ΔT2 are the mass, specific heat, and temperature change of copper, and m3, c3, and ΔT3 are the mass, specific heat, and temperature change of water. By substituting the given values and solving the equation, we can find the final temperature of the system.

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User Gincard
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8.2k points
5 votes

Final answer:

We can use the principle of thermal equilibration to find the final temperature of the system by applying the formula Q = mcΔT.

Step-by-step explanation:

In this question, we are dealing with the transfer of heat between aluminum, copper, and water. We can use the principle of thermal equilibration to find the final temperature of the system. When two objects of different temperatures are in contact, heat will flow from the hotter object to the colder object until they reach the same final temperature. The amount of heat transferred can be calculated using the equation:

Q = mcΔT

Where Q is the heat transferred, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature.

By applying this principle to the given question, we can calculate the final temperature of the system.

answered
User Ahmed Elashker
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7.8k points