High-altitude mountain climbers do not eat snow, but always melt it first with a

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 middot C, the latent heat of fusion is 333 KJ/kg, the specific heat of water is 4186 J/kg middot C degree. Calculate the energy absorbed from a climber's body if he eats 0.75 kg of-15 degree C snow which his body warms to body temperature of 37 degree C. Express your answer to two significant figures and include the appropriate units. Calculate the energy absorbed from a climber's body if he melts 0.75 kg of-15 degree C snow using a stove and drink the resulting 0.75 kg of water at 2 degree c, which his body has to warm to 37 degree C. Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

here,

A)

mass , m = 0.75 kg

initial temprature , Ti = - 15 degree C

Tf = 37 degree C

the energy absorbed , Q = m * ( Ci * (0 - (-Ti)) + Lf + Cw * (Tf - 0))

Q = 0.75 * ( 2100 * 15 + 333000 + 4186 * 37)

Q = 389536.5 J = 3.9 * 10^5 J

B)

the energy absorbed , Q2 = m * Cw * ( 37 - 2)

Q2 = 0.75 * 4186 * ( 35) = 1.1 * 10^5 J

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