High School

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During exercise, a person may give off 185 kcal of heat in 25 minutes by evaporation of water (at 20°C) from the skin. How much water has been lost? The heat of vaporization for the evaporation process is 2450 kJ/kg.

a. 0.316 kg
b. 0.419 kg
c. 0.523 kg
d. 0.277 kg

Answer :

Final answer:

To calculate the amount of water lost during exercise, use the formula Q = mL, where Q is the heat given off, m is the mass of water lost, and L is the heat of vaporization. In this case, the amount of water lost is approximately 0.316 kg. So, the correct option is (a).

Explanation:

To calculate the amount of water lost during exercise, we need to use the formula Q = mL, where Q is the heat given off in kcal, m is the mass of water lost in kg, and L is the heat of vaporization in kJ/kg. In this case, we are given Q = 185 kcal, L = 2450 kJ/kg, and the time t = 25 min.

First, we need to convert Q from kcal to kJ. 1 kcal = 4.18 kJ, so Q = 185 kcal * 4.18 kJ/kcal = 771.3 kJ. Next, we rearrange the equation to solve for m: m = Q / L. Plugging in the values, we get m = 771.3 kJ / 2450 kJ/kg = 0.3152 kg.mRounding to three decimal places, the amount of water lost is approximately 0.316 kg.

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