Posted by admin | Posted in Thermo Hygrometers | Posted on 23-07-2006
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Physic problem. Please help. Thanks.?
what is the density of water vapor in grams per cubic meter in desert when relative humidity is 12.62% & air temperature is 40 degrees Celsius?
please show how the work is done. Thanks.
You need to find the saturated vapor pressure at 40°C: Ps (in atm), which can be very well described in Goff-Gratch equation:
http://en.wikipedia.org/wiki/Water_vapour
You need to calculate it out at 40°C, or find the value from some handy table. Given that the relative humidity be 12.62%, the absolute humidity is 12.62%*Ps (in atm). Using ideal gas law: PV = nRT, and remember that the molar mass of H2O is 18.015 g/mol, the density of water vapor can be calculated as:
18.015*(n/V) =18.015*(12.62%*Ps)/(0.08206*313.2) (g/L)
To cahnge the above to the unit of (g/m^3), the above must be multiplied by 1000:
18015*(n/V) =18015*(12.62%*Ps)/(0.08206*313.2) (g/m^3)
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