In class, we said that a 1000-500 hPa thickness of 5400m represents a 50% probability of...
In class, we said that a 1000-500 hPa thickness of 5400m represents a 50% probability of rain versus snow. What mean column temperature does this represent in degrees Celsius? (Use a value of 9.8 for gravity)
Homework Answers
from hydrostatic equation
Z2-Z1=RT/g*ln(p1/p2)
where,
R= gas constant=287J/Kg/K
T =Mean temperature
Z1,Z2 (m)= height of isobaric surfaces p1,p2
g= 9.81m/s^2
given in question
p1= 1000hPa, p2=500hPa , Z2-Z1= 5400m
SO,
5400m= 287J/Kg/K*T/9.81m/s^2* ln(1000hPa/500hPa)
T= 266.29 C
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