QuestionWhich substance has the greatest temperature increase when the same energy is added? Explain using specific heat values.
Studdy Solution
STEP 1
Assumptions1. The same mass of each substance is considered.
. Each substance gains the same amount of energy.
3. The specific heat capacities of the substances are given in the table.
STEP 2
We know that the amount of heat energy required to raise the temperature of a substance is given by the formulawhere- is the heat energy, - is the mass of the substance, - is the specific heat capacity of the substance, and- is the change in temperature.
STEP 3
In this problem, we are told that the mass of each substance and the amount of heat energy gained are the same. Therefore, we can rewrite the formula as
STEP 4
From the above equation, we can see that the change in temperature is inversely proportional to the specific heat capacity. This means that the substance with the lowest specific heat capacity will have the greatest increase in temperature.
STEP 5
Looking at the table, we can see that the substance with the lowest specific heat capacity is Lead, with a specific heat capacity of128 J/kg°C.
Therefore, Lead will have the greatest increase in temperature when the same mass of each substance gains the same amount of energy. This is because it requires less energy to increase the temperature of Lead by a certain amount compared to the other substances.
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