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I need your help to calculate Virtual Potential Temperature

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i got too many information in the internet and got confuse and my calculations make no sense. I have height,pressure(in hPa), temperature, RH, and dew point temp. i would love some guide to calculate Virtual Potential Temperature (theta-v) step by step.
eg:
i have
height(m) : 1516

 hPa :850

 T© : 19.4

RH(%) :25%

 DPT© : 3.5
 

thanks.

[email protected]

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i got too many information in the internet and got confuse and my calculations make no sense. I have height,pressure(in hPa), temperature, RH, and dew point temp. i would love some guide to calculate Virtual Potential Temperature (theta-v) step by step.

eg:

i have

height(m) : 1516

hPa :850

T© : 19.4

RH(%) :25%

DPT© : 3.5

thanks.

[email protected]

Equations needed: Tv = (1+0.61w)T , ThetaV = Tv(1000p)^Rd/Cp

Here we are assuming specific humidity q is approx by mix ratio w.

You need to find mixing ratio to solve problem.

w = RH*ws ws is saturated mix ratio

ws = Rd / Rv * esw is saturation vapor pressure

Use Clausius-Clapeyron equation to find this

esw = 6.11 * exp[Lv*Rv*(1To - 1T)]. To = O*C = 273.15 K

All other variables are known or generally constant

Remember to use SI units when performing calculations

Peace

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