Final answer:
The amount of heat energy needed to raise the temperature of water from 4.0°C to 37.0°C is 13872.0 J.
Step-by-step explanation:
To calculate the amount of heat energy needed to raise the temperature of water from 4.0°C to 37.0°C, we can use the formula:
Heat energy = mass × specific heat × change in temperature
Given:
Mass of water = 100.0 g
Specific heat of water = 4.184 J/g*°C
Change in temperature = (37.0°C - 4.0°C)
Substituting these values into the formula:
Heat energy = 100.0 g × 4.184 J/g*°C × (37.0°C - 4.0°C)
Simplifying the calculation:
Heat energy = 100.0 g × 4.184 J/g*°C × 33.0°C
Heat energy = 13872.0 J