One way you keep from overheating is by perspiring.

Evaporation—a phase change—requires heat, and the heat energy

is removed from your body. Evaporation is much like boiling,

only water’s heat of vaporization at 350Cis a somewhat larger

24×105J/kgBecause at lower temperatures, more energy is required.

to break the molecular bonds. Very strenuous activity can

This causes an adult human to produce 30 g of perspiration per minute.

If all the perspiration evaporates, rather than drips off, at what

rate (in J/s) is it possible to exhaust heat by perspiring?

Short Answer

Expert verified

The heat of the vaporizationq˙=1200Js

Step by step solution

01

Given information

The perspiration mass flow is 30gper minute and its heat of vaporization is 24×105J/kg

formula used:

To calculate the heat exhaustion rate, we can use the following equation:

width="70">q˙=m˙ΔLv

Where width="15">m˙is the mass flow and width="18">Lvis the heat of vaporization.

02

calculation

Perspiration has a mass flow of:

m˙=30gmin1[min]60|s|=0.50gs

The heat of vaporization is:

Lv=24×105Jkg1|kg|1000|g|=2400Jg

Values substituted:

q˙=0.50gsΔ2400Jg=1200Js

This number is higher than the real one because we assume that all perspiration evaporates, which is not the case.

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