determine specific heat capacity of the given solid by the method of mixture
Determine specific heat capacity of the given solid by the method of mixture
Answer:
To determine the specific heat capacity of a given solid using the method of mixture, you need to follow these steps:
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Initial Temperature Measurement: Measure the initial temperature of the solid, denoted as T_1 , and record it.
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Heat the Solid: Heat the solid to a known temperature. Make sure the solid absorbs enough heat and reaches a stable and uniform temperature. Let’s denote this final temperature as T_2 .
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Prepare the Calorimeter: While the solid is being heated, prepare a calorimeter by adding a known quantity of water at a certain temperature into it. Measure and record the initial temperature of the water in the calorimeter, denoted as T_{\text{w1}} .
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Mixing: Quickly transfer the heated solid from the source to the calorimeter containing water. Stir the mixture and wait for thermal equilibrium to be reached. The final temperature of the water and solid mixture is denoted as T_{\text{final}} .
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Calculations: Use the principle of conservation of energy to calculate the specific heat capacity of the solid. The heat lost by the solid is equal to the heat gained by the water:
m_s c_s (T_2 - T_1) = m_w c_w (T_{\text{final}} - T_{\text{w1}})
where:
- m_s is the mass of the solid,
- c_s is the specific heat capacity of the solid (what we want to find),
- m_w is the mass of water,
- c_w is the specific heat capacity of water,
- T_2 - T_1 is the temperature change of the solid,
- T_{\text{final}} - T_{\text{w1}} is the temperature change of the water.
- Calculate the Specific Heat Capacity: By rearranging the equation and plugging in the known values, you can solve for the specific heat capacity of the solid, c_s .
Following these steps accurately will allow you to determine the specific heat capacity of the given solid using the method of mixture.