Multiple Choice
When calculating the heat of solution in a calorimeter, which of the following is assumed to be negligible?
8. Thermochemistry
Heat Capacity
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Which of the following substances (with specific heat capacity provided) would show the smallest temperature change upon gaining 200.0 J of heat?
A
Substance C: 2.00 J/g°C
B
Substance A: 0.50 J/g°C
C
Substance B: 1.00 J/g°C
D
Substance D: 0.25 J/g°C
Verified step by step guidance1
Identify the formula for calculating temperature change when a substance gains heat: \( q = mc\Delta T \), where \( q \) is the heat energy (in joules), \( m \) is the mass (in grams), \( c \) is the specific heat capacity (in J/g°C), and \( \Delta T \) is the temperature change (in °C).
Rearrange the formula to solve for \( \Delta T \): \( \Delta T = \frac{q}{mc} \). This equation shows that the temperature change is inversely proportional to the specific heat capacity.
Recognize that for a given amount of heat energy \( q \) and mass \( m \), a substance with a higher specific heat capacity \( c \) will have a smaller temperature change \( \Delta T \).
Compare the specific heat capacities of the substances: Substance A: 0.50 J/g°C, Substance B: 1.00 J/g°C, Substance C: 2.00 J/g°C, Substance D: 0.25 J/g°C.
Determine that Substance C, with the highest specific heat capacity of 2.00 J/g°C, will exhibit the smallest temperature change upon gaining 200.0 J of heat.
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