Answer :
Final Answer:
The final temperature of the copper and water is approximately 61.8 °C. This is determined by the principle of conservation of energy,where the heat lost by the copper is equal to the heat gained by the water, considering their specific heat capacities and initial conditions.Thus,the correct option is b.
Explanation:
1: To solve this problem, we need to apply the principle of conservation of energy, which states that the heat lost by one substance is equal to the heat gained by another when they reach thermal equilibrium.
We can use the formula Q = m * c * ΔT, where Q represents the heat, m is the mass, c is the specific heat, and ΔT is the change in temperature.
2: We can set up the equation for the heat lost by copper and the heat gained by water as follows:
For copper: Q_copper = m_copper * c_copper * ΔT_copper
For water: Q_water = m_water * c_water * ΔT_water
Since no heat is lost to the surroundings, Q_copper = Q_water. Therefore, we have:
m_copper * c_copper * ΔT_copper = m_water * c_water * ΔT_water
3: Now, we can plug in the given values and solve for ΔT_water, which represents the final temperature of both copper and water. After the calculation, we find that the final temperature is approximately 61.8 °C, which is the answer (B).
This solution ensures that the heat lost by the hot copper is transferred to the cooler water until both reach a common final temperature, and it takes into account the specific heat capacities and masses of the substances involved in the process.
Principle of conservation of energy and heat transfer, which are fundamental concepts in thermodynamics. These principles are widely applicable in various fields of science and engineering.
Therefore,the correct option is b.
Learn more about conservation of energy
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