Fluid Statics
Example 5:

At the top of a mountain mercury-barometer reading is 56 cm and thermometer reading is -5 0 C. while at the foot-hill the reading is 75.2 cm. assuming dry adiabatic condition determine the height of the mountain. R=287 joule/[kg(m) deg C abs]

Solution :

Given data: At the top pressure P = 56cm

                   At the bottom pressure P 0 = 75.2 cm

                 At the top of the hill temperature T = -5 0 C = 268 K

                The pressure and temperature variation for dry adiabatic condition is given as

                         
              And   
               For dry adiabatic Condition n = 1.4. Now solve for (Z-Z 0 )

            Answer:-      2289m.
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