High School

If a 69.87 kg person ate 181 calories worth of sugar (about the calories in a typical energy drink) and they converted all of that energy to heat immediately, what would be the change in temperature of that person?

Answer :

If a 69.87 kg person ate 181 calories worth of sugar and they converted all of that energy to heat immediately, the change in temperature of that person is 3.609 ºC.

What is calorie?

  • Energy is quantified by calories. One calorie is equal to the amount of a heat energy needed to raise one gram of water's temperature by one degree Celsius.
  • In reality, the term "calorie" refers to a kilocalorie, or one thousand actual calories.
  • To heat one kilogram of water by one degree Celsius, one nutritional calorie is required.
  • Through combustion in a bomb calorimeter, the number of calories in various food servings is calculated.

To calculate the change in temperature resulted from the intake of food calories or energy generated in Joules we use the formula,

Energy(Joules) = mass of the body (g) x specific heat of the body(J/gºC.) x change in temperature (ºC)

Let us assume that the average specific heat of the person's body is 3.00 J/gºC.

Using the above formula we find the change in temperature as-

181 x 1000 cal/ 1cal x 4.18 J/1 cal = 69.87 x 1000 x 3.00 J/gºC. x ΔT

ΔT = 181 x 1000 x 4.18/ 69.87 x 1000 x 3

= 3.609

Hence, the change in temperature of that person is 3.609 ºC.

To learn more about calorie from the given link

https://brainly.com/question/1061571

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