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Pie
3 years ago
12

what is the relative humidity when the air temperature is 28 degrees celcius and the wet bulb temperature is 20 degrees celcius?

Chemistry
2 answers:
Sedaia [141]3 years ago
6 0

Answer:

47 %  

Step-by-step explanation:

The formula for <em>relative humidity</em> (RH) consists of three parts:

a_{d} = 6.112e^{\frac{17.502T_{d} }{240.97+T_{d}}}

a_{w} = 6.112e^{\frac{17.502T_{w} }{240.97+T_{w}}}

RH = \frac{ a_{w}-0.668 745(1+0.00115T_{w})(T_{d}-T_{w})}{a_{d}}\times100

<em>Data: </em>

T_{d} = 28 ^{\circ}\text{C}; T_{w} = 20^{\circ}\text{C}

Calculations:

a_{d} = 6.112e^{\frac{17.502\times28}{240.97+ 28}}

a_{d} = 6.112e^{\frac{490.1}{238.97}}

a_{d} = 6.112e^{1.822}

a_{d} = 6.112\times 6.184

a_{d} = 37.88

a_{w} = 6.112e^{\frac{17.502\times20}{240.97+ 20}}

a_{w} = 6.112e^{\frac{350.0}{260.97}}

a_{w} = 6.112e^{1.341}

a_{w} = 6.112\times 3.824

a _{w} = 23.37

RH = \frac{ 23.37 - 0.668 745(1+0.00115\times20)(28 - 20)}{37.88}\times100

RH = \frac{ 23.37 - 0.668 745(1+0.02300)\times8}{37.88}\times100

RH = \frac{ 23.37 - 0.668 745\times1.02300\times8}{37.88}\times100

RH = \frac{ 23.37 - 5.4738}{37.88}\times100

RH = \frac{ 17.90}{37.88}\times100

RH = 47.3 \%

It's much easier to use a <em>RH table</em> (see below) and get the same result.

Tanya [424]3 years ago
4 0

10 i think not sure

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