High-altitude mountain climbers do not eat snow, but always melt it first with a
ID: 2040894 • 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 is 4186 J/kg?C?.
A) Calculate the energy absorbed from a climber's body if he eats 0.45 kg of -15?C snow which his body warms to body temperature of 37?C. Express your answer to two significant figures and include the appropriate units.
B) Calculate the energy absorbed from a climber's body if he melts 0.45 kg of -15?C snow using a stove and drink the resulting 0.45 kg of water at 2?C, which his body has to warm to 37?C. Express your answer to two significant figures and include the appropriate units.
Explanation / Answer
Given
A
m = 0.45 kg , at temperture T1 = -15 0C
here the heat energy required to melt the ice from -15 0C to 0 0C and converting in to liquid form is
Q = m*c*dT + m*L
Q = 0.45(2100*(0-(-15))+333000) J
Q = 164025 J = 164.025 kJ
B
energy absorbed from climber's body is
heat energy required to melt the ice from -15 0C to 0 0C and converting in to liquid and increasing temperature from 0 0C to 2 0C is
Q = m*c*dT1 + m*L+m*c*dT2
Q = 0.45(2100*(0-(-15))+333000+4186(2-0)) J
Q = 167792.40 J
Q = 167.7924 kJ
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