A column of air that has a temperature of 13°C at 2000m and a temperature of 3°C

Question

A column of air that has a temperature of 13°C at 2000m and a temperature of 3°C at 3000m has a lapse rate of 10°C/1000m. Show how this is the case.

A column of air that has a temperature of 13°C at 3000m and a temperature of 3°C at 2000m has a lapse rate of -10°C/1000m. Show how this is the case.

What is the lapse rate (in units of °C/1000m) for a column of air that has a temperature of 17°C at 1000m and a temperature of 23°C at 0m?

What is the lapse rate (in units of °C/1000m) for a column of air that has a temperature of 17°C at 1000m and a temperature of 23°C at 2000m?

Now that you have practiced 1000m differences in height, try for larger increments. Continue to express your final answer in units of °C/1000m.

A column of air that has a temperature of 33°C at 0m and a temperature of 19°C at 2000m has a lapse rate of 7°C/1000m. Show how this is the case.

What is the lapse rate (in units of °C/1000m) for a column of air that has a temperature of 33°C at 1000m and a temperature of 19°C at 5000m?

Use the graph below to answer questions 6 through 9. As for the first page, express each in units of °C/1000m.

Calculate the lapse rate for line A units of °C/1000m.

Calculate the lapse rate for line B units of °C/1000m.

Calculate the lapse rate for line C units of °C/1000m.

Calculate the lapse rate for line D units of °C/1000m.

Explanation / Answer

Answer- temperature at 2000m elevation is = 13C

temperature at 3000m elevation is 3C

lapse rate is 10C/km

Prevailing lapse rate is equal dry adiabatic lapse rate so the air column is in neutral equlibrium

Answer- temperature at 3000m elevation that is 13C

temperature at 2000m elevation is 3C

lapse rate is -10C/km

this is the case of temperature inversion. in such case at high elevation on increasing elevation temperature increase. and on decreasing elevation is temperatue decreases. prevailing lapse rate is equal to dry adibatic lapse rate so air column is in neutral equalibrium.

Answer- temperature at 0m elevation is 23C

temperature at 1000m elevation is 17C

so the lapse rate is 23-17/1000-0 = 5C/km

air is moist

Answer- temperature at 1000m elevation 17C

temperature at 2000m elevation is 23C

lapse rate = 17-23/1000-0 = -5C/km

adiabatic lapse rate is moist

Answer- temperature at 0m elevation is 33C

temeperature is 2000m elevation is 19C

as we can see the temperature difference between various elevation is 14C and elevation difference between 2000C

so lapse rate is 7C/km

So we can see that the prevailing lapse rate lies between dry adibatic lapse rate and moist adibatic lapse rate. it is represent that the column of air is in conditional instability.

Answer- temperature at 1000m elevation is 33C

temperature at 5000M elevation is 19C

temperature difference is 33-19 = 14C

elevation differnce is 5000-1000 = 4000m = 4km

so the lapse rate is = 14/4 = 3.5km/C

Answer- For the lapse rate for line A

given temperature at 0 m elevation is 20C

temperature at 3000m or 3km elevation is 0C

temperature difference is 20C and elevation difference is 3km

the lapse rate for line A is = 20C/3 = 6.6C/km

For lapse rate for line B

temperature at 0 m elevation is 20C

temperature at 3000m elevation is 10C

temperature difference is 10C and elevation difference is 3000m or 3km

so lapse rate of line B is = 10/3 = 3.3C/km

For the lapse rate C

temperature at 0 m elevation is 20C

temperature at 3000m elevation is 20C

temperature difference is 0C and elevation difference is 3000m or3km

so lapse rate of line C is 0C/km

For the lapse rate of line D

temperature at 0 m elevation is 20C

temperature at 3000m elevation is 30C

temperature increase with on increasing elevation

temperature difference is 10C and elevation difference 3000m or 3km

so lapse rate of line D is = 20-30/3 = -3.3C/km

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