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An experiment is performed to measure th...

An experiment is performed to measure the specific heat of copper . A lump of copper is heated in an oven, then dropped into a beaker of water . To calculate the specific heat of copper, the experiment must know or measure the value of all quantities below except the

A

heat capacity of water and breaker

B

original temperature of the copper and the water

C

final (equilibrium) temperature of the copper and the water

D

time taken to achieve equilibrium after the copper is dropped into the water

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To solve the problem of determining which quantity is not required to calculate the specific heat of copper in the given experiment, we can follow these steps: ### Step 1: Identify the parameters involved in the experiment - **Copper Parameters:** - Mass of copper (m_c) - Specific heat of copper (C_c) - Initial temperature of copper (T_c_initial) - **Water Parameters:** - Mass of water (m_w) - Specific heat of water (C_w) - Initial temperature of water (T_w_initial) - **Final Parameters:** - Final equilibrium temperature (T_final) ### Step 2: Apply the principle of calorimetry According to the principle of calorimetry, the heat lost by the copper will equal the heat gained by the water. This can be expressed mathematically as: \[ \text{Heat lost by copper} = \text{Heat gained by water} \] This can be formulated as: \[ m_c \cdot C_c \cdot (T_c_initial - T_final) = m_w \cdot C_w \cdot (T_final - T_w_initial) \] ### Step 3: Identify the required quantities From the equation, we can see that the following quantities are essential for calculating the specific heat of copper: - Mass of copper (m_c) - Specific heat of copper (C_c) - Initial temperature of copper (T_c_initial) - Mass of water (m_w) - Specific heat of water (C_w) - Initial temperature of water (T_w_initial) - Final equilibrium temperature (T_final) ### Step 4: Determine which quantity is not needed The question asks which quantity is not necessary for the calculation of the specific heat of copper. Among the listed quantities, the time taken to achieve equilibrium after the copper is dropped into the water does not affect the calculation of specific heat. The heat transfer process can be analyzed without knowing how long it takes to reach equilibrium. ### Conclusion Thus, the quantity that is not required to calculate the specific heat of copper is: **Answer: Time taken to achieve equilibrium after the copper is dropped into water.**
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