High-altitude mountain climbers do not eat snow, but always melt it first with a
ID: 1305670 • Letter: H
Question
High-altitude mountain climbers do not eat snow, but always melt it first with a stove. To see why, calculate the energy absorbed from a climber's body under the following conditions. The specific heat of ice is 2100 J/kg?C?, the latent heat of fusion is 333 kJ/kg, the specific heat of water is4186 J/kg?C?.
PART A) Calculate the energy absorbed from a climber's body if he eats 0.40kg of -15?C snow which his body warms to body temperature of 37?C.
PART B) Calculate the energy absorbed from a climber's body if he melts 0.40kg of -15?C snow using a stove and drink the resulting 0.40kg of water at 2?C, which his body has to warm to 37?C.
Explanation / Answer
A)
Total Energy absorbed by body = Energy required to heat ice to 0 C + Energy required to melt ice + Energy required to heat water to 37 C
= m c dT + m L + mc dT
= 0.40 (2100 * (0-(-15)) + 333* 10^3 + 4186 * (37-0) )
= 0.40 * 519382 = 207752.8 J = 207.7528 kJ
B)
Total Energy absorbed from body = Energy required to heat water to 37 C by body
= 0.40 * 4186 * (37-2) = 58604 J = 58.604 kJ
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