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Answer :
Answer:
THE SPECIFIC HEAT OF THE METAL IS 0.8983 J/g °C
Explanation:
In solving the problem, we have to understand that:
Heat lost by the metal = Heat gained by the water in the bomb calorimeter
First is to calculate the heat evolved from the reaction
Heat = mass * specific heat * change in temperature
Mass of water = 50 g
specific heat of water = 4.184 J/g °C
Change in temperature = 23 - 21 = 2 °C
So therefore,
Heat = 50 * 4.184 * 2
Heat = 418.4 J
Next is to solve for the specific heat of the metal;
Heat lost by the metal is the same as the heat gained by water
Heat = mass * specific heat of metal * change in temperature
Change in temperature = 39.4 °C - 23 °C = 16.4 °C
418.4 = 28.4 * C * 16.4
C = 418.4 / 28.4 * 16.4
C = 418.4 / 465.76
C = 0.8983 J/ g °C
The specific heat of the metal is hence 0.8983 J/g °C
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