High School

How many calories of heat will your body expend to warm 100 g of chilled cold water initially at 5 °C to 37 °C?

A) 1600 calories
B) 3700 calories
C) 4200 calories
D) 5200 calories

Answer :

Final answer:

The correct option is B) 3700 calories.

Explanation:

To calculate the heat expended to warm the water, we can use the formula Q = mcΔT, where Q is the heat, m is the mass of the water, c is the specific heat capacity of water, and ΔT is the change in temperature. Given that ice-cold water of 100g is to be warmed from 5°C to 37°C:

Q = 100g * 4.184 J/g°C * (37°C - 5°C)

= 100g * 4.184 J/g°C * 32°C

= 13388.8 J

= 13.388 kJ.

Converting this to calories using 1 calorie = 4.184 J, we get 13.388 kJ * 1000 / 4.184

= 3206.1 calories.

Therefore, the correct option is B) 3700 calories.