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100.0 g of 4.0oC water is heated until its temperature is 37.0oC. If the specific heat of water is 4.184 J/g*oC, calcuate the amount of heat energy needed to cause this rise in temperature.________ J (Your answer should have 1 number after the decimal.)

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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

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