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1) The air temperature is 15ºC. Determine the saturation vapor pressure at this temperature. If the...

1)

The air temperature is 15ºC. Determine the saturation vapor pressure at this temperature. If the dew point temperature is found to be 10ºC, determine the vapor pressure in the air, and calculate the relative humidity for both temperatures.

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Answer #1

The saturation vapor pressure Ps can be determined by using the following formula

P, = 610.78 exp[ ) × 172694] (1) t 238.3

Here, t is the temperature in oC and Ps in pascals. Substituting t in above we get

15 P, 610.78 expl ) × 17.2694 15238.3

610 78exp[(3553) × 17 P, .2694|

P, 610.78 exp|1.023| = 1698Pa

Saturation pressure is 1698 Pa.

The vapor pressure P in the air can be calculated as

td P-610.78 expl( 238x 17.264....)

Here, td is the dew point temperature in 0C.

10 P = 610.78 exp[(T,2383 ) × 17.2694

P = 10 610.78 expli-一一) x 17.2694 1

P 610.78 exp(0.6955

P-1224Pa

The relative humidity R can be given as

R=rac{P}{P_s}

2240.72 1-1698 = 0.72

So the relative humidity will be 0.72 x 100=72 %

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