How many calories are needed to raise the temperature of 32g of water from 12 degrees Celsius to 54 degrees Celsius?
A
1024 calories
B
1344 calories
C
1600 calories
D
768 calories
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1
Identify the formula to calculate the heat required to change the temperature of a substance: \( q = m \cdot c \cdot \Delta T \), where \( q \) is the heat energy, \( m \) is the mass, \( c \) is the specific heat capacity, and \( \Delta T \) is the change in temperature.
Determine the specific heat capacity of water, which is typically \( 1 \text{ cal/g°C} \).
Calculate the change in temperature \( \Delta T \) by subtracting the initial temperature from the final temperature: \( \Delta T = 54°C - 12°C \).
Substitute the values into the formula: \( q = 32 \text{ g} \cdot 1 \text{ cal/g°C} \cdot \Delta T \).
Perform the multiplication to find the total calories needed to raise the temperature of the water.