High altitude mountain climbers do not eat snow, but always melt it first with a stove. To see why, calculate energy absorbed from your body if you: (more information see details)?

a.) eat 1.0kg of -15 degrees Celsius snow which your body warms to body temperature of 37 degrees Celsius (ANSWER: 5.210^5J)?
b.) melt 1.0kg of -15 degrees Celsius snow using a stove and drink the resulting 1.0kg of water at 2 degrees Celsius, which your body has to warm to 37 degrees Celsius (ANSWER: 1.5
10^5)?

1 Answer
Feb 11, 2018

(a)

  1. Heat required to change 1.0\ kg ice at -15^@C to Ice at 0^@C =ms_(ice)DeltaT=1xx(2.108xx10^3)xx15=3.162xx10^4\ J
  2. Heat required to change from state of 1.0\ kg ice to water=mL_(ice)=1xx3.34xx10^5=3.34xx10^5\ J
  3. Heat required to change 1.0\ kg water at 0^@C to water at 37^@C =ms_(water)DeltaT=1xx(4.187xx10^3)xx37=1.549xx10^5\ J

Total heat required =3.162xx10^4+3.34xx10^5+1.549xx10^5
=5.21xx10^5\ J

(b)

Heat required to warm 1.0\ kg water at 2^@C to water at 37^@C =ms_(water)DeltaT=1xx(4.187xx10^3)xx35=1.465xx10^5\ J