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

Answer: (B)

Verified step by step guidance

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.
2. Determine the specific heat capacity of water, which is typically \( 1 \text{ cal/g°C} \).
3. Calculate the change in temperature \( \Delta T \) by subtracting the initial temperature from the final temperature: \( \Delta T = 54°C - 12°C \).
4. Substitute the values into the formula: \( q = 32 \text{ g} \cdot 1 \text{ cal/g°C} \cdot \Delta T \).
5. Perform the multiplication to find the total calories needed to raise the temperature of the water.