Biology : asked on dev804
 22.08.2022

What is the wet-bulb temperature if the dry-bulb temperature is 20°C and the relative humidity is 82%?

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Engineering
Step-by-step answer
P Answered by PhD

The dew point temperature is 11.65°C

Explanation:

Dew point temperature formula is given as follows;

From the modified Apjohn equation, we have;

P_v = P'_v -\dfrac{1.8 \times p (t - t')}{2700}

Which gives;

The saturation vapor pressure at 15°C = 1.705 kPa

P'_v = 1.705 kPa

p = 101.325 kPa

P_v = 1.705 - 1.8*101.325*(20 - 15)/2700 = 1.36725 kPa

The dew point temperature is the steam saturation temperature at 1.36725 kPa

= 6.9696 + (17.4953 - 6.9696)*(0.0136725 - 0.01)/(0.02 - 0.01) = 10.84°C by approximation calculation from steam tables and  284.8 K = 11.65°C from Wolfram Alpha.

Chemistry
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P Answered by PhD

The relative humidity is 36%.

Explanation:

Relative humidity is the measure of ratio of actual vapor density to saturated vapor density in a given system. So there are different ways to measure the relative humidity in the atmosphere. One of the common ways is to measure using Psychrometer. In this instrument, two different thermometers are used as measuring device. One of the thermometer measures the humidity in dry air and another in wet air. So the difference of the temperature of dry and wet air bulb will be related to determine the relative humidity percentage. The formula to determine the relative humidity using this method is as below.

Relative humidity=\frac{(e_{w}-[N*(1+0.00115*T_{w}*(T_{d}-T_{w}))])*100}{e_{d} }

Also,

e_{d}=6.112*e^{[\frac{(17.502*T_{d} )}{(240.97+T_{d} )}]}

And,

e_{w}=6.112*e^{[\frac{(17.502*T_{w} )}{(240.97+T_{w} )}]}

Here e =2.718, T_{d} and T_{w} are the temperature at dry bulb and wet bulb temperatures, respectively.

So, the relative humidity after substituting the values of Td = 2 C and Tw = -2 C is 36%.

Chemistry
Step-by-step answer
P Answered by PhD

The relative humidity is 36%.

Explanation:

Relative humidity is the measure of ratio of actual vapor density to saturated vapor density in a given system. So there are different ways to measure the relative humidity in the atmosphere. One of the common ways is to measure using Psychrometer. In this instrument, two different thermometers are used as measuring device. One of the thermometer measures the humidity in dry air and another in wet air. So the difference of the temperature of dry and wet air bulb will be related to determine the relative humidity percentage. The formula to determine the relative humidity using this method is as below.

Relative humidity=\frac{(e_{w}-[N*(1+0.00115*T_{w}*(T_{d}-T_{w}))])*100}{e_{d} }

Also,

e_{d}=6.112*e^{[\frac{(17.502*T_{d} )}{(240.97+T_{d} )}]}

And,

e_{w}=6.112*e^{[\frac{(17.502*T_{w} )}{(240.97+T_{w} )}]}

Here e =2.718, T_{d} and T_{w} are the temperature at dry bulb and wet bulb temperatures, respectively.

So, the relative humidity after substituting the values of Td = 2 C and Tw = -2 C is 36%.

Biology
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