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Example 10. A mass of 200 g of copper having specific
heat capacity 0.095 is heated to 100°C and placed in 100 g of
alcohol at 8°C contained in a copper calorimeter whose mass
is 25 g. The temperature of alcohol rises to 28.5°C. Find the
specific heat capacity of alcohol.
Answers
A mass of 200 g of copper having specific
heat capacity 0.095 is heated to 100°C and placed in 100 g of
alcohol at 8°C contained in a copper calorimeter whose mass
is 25 g. The temperature of alcohol rises to 28.5°C. Find the
specific heat capacity of alcohol.
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Answer:
The specific heat capacity of alcohol is .
Explanation:
According to the principle of calorimetry, the amount of heat released by a hot body is equal to the amount of heat absorbed by the cold body.
The amount of heat required to raise the temperature of 1 gram of substance through 1°C is given by
where s is the called specific heat capacity.
Given the mass of copper,
The specific heat capacity of copper,
Temperature of copper,
The mass of calorimeter,
The mass of alcohol,
Temperature of alcohol,
Final temperature of alcohol,
And the mixture of water from two taps, gives the temperature 30°C
Applying the principle and the formula to the present case, we can write
Heat lost by copper = Heat gained by alcohol and calorimeter
Therefore, the specific heat capacity of alcohol is .
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