Multiple Choice
How much heat (in kJ) must be added to a sample of metal weighing 95.6 g for the temperature to change from 30.0 °C to 98.0 °C? The specific heat of the metal is 0.451 J/g°C.
8. Thermochemistry
Heat Capacity
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How much heat must be added to 25.0 g of water to raise the temperature from 15.0°C to 40.0°C? (Specific heat capacity of water is 4.18 J/g°C)
A
2612.5 J
B
4180.0 J
C
1045.0 J
D
2090.0 J
Verified step by step guidance1
Identify the formula to calculate the heat added: \( q = m \cdot c \cdot \Delta T \), where \( q \) is the heat added, \( m \) is the mass, \( c \) is the specific heat capacity, and \( \Delta T \) is the change in temperature.
Determine the mass \( m \) of the water, which is given as 25.0 g.
Identify the specific heat capacity \( c \) of water, which is provided as 4.18 J/g°C.
Calculate the change in temperature \( \Delta T \) by subtracting the initial temperature from the final temperature: \( \Delta T = 40.0°C - 15.0°C \).
Substitute the values into the formula: \( q = 25.0 \text{ g} \cdot 4.18 \text{ J/g°C} \cdot (40.0°C - 15.0°C) \) to find the heat added.
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