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# When spring finally arrives in the mountains, the snow ISBN: 9780201380279 40

## Solution for problem 48P Chapter 1

An Introduction to Thermal Physics | 1st Edition

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Problem 48P

When spring finally arrives in the mountains, the snow pack may be two meters deep, composed of 50% ice and 50% air. Direct sunlight provides about. 1000 watts/m2 to earth’s surface, but the snow might reflect 90% of this energy. Estimate how many weeks the snow pack should last, if direct solar radiation is the only source of energy.

Step-by-Step Solution:

Step 1:-

For we will calculate the volume of snow-air mixture which has a depth of 2 meters.

The volume is, .

Energy received at a rate of .

The energy absorbed by volume is .

The snow reflects 90% of the energy so, the absorbed energy is .

For 1 area , it is 100 J/s.

Step 2:-

The heat of fusion of water is, .

The mass of volume of this mixture is 2 kg from which 1 kg is snow.

The heat required to change the phase is, .

Step 3 of 3

##### ISBN: 9780201380279

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