The first function shown above is an estimate for the temperature of the air in the atmosphere near the earth's surface, where "T" is the temperature in degrees Celsius and "h" is the elevation from the sea level in meters. The second function is a differential equation relating pressure "P" to the depth "h" where dP and dh are both differential terms. Solve for the pressure in the atmosphere ath = 3,000 m given the fact that at h = 0, P = 101.325 kPa. %3D %3D
The first function shown above is an estimate for the temperature of the air in the atmosphere near the earth's surface, where "T" is the temperature in degrees Celsius and "h" is the elevation from the sea level in meters. The second function is a differential equation relating pressure "P" to the depth "h" where dP and dh are both differential terms. Solve for the pressure in the atmosphere ath = 3,000 m given the fact that at h = 0, P = 101.325 kPa. %3D %3D
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Transcribed Image Text:T(h) = 15 – 0.00651(h) in degrees Celsius
dP =
-pg(dh)
The first function shown above is an estimate for the
temperature of the air in the atmosphere near the
earth's surface, where "T" is the temperature in
degrees Celsius and "h" is the elevation from the sea
level in meters. The second function is a differential
equation relating pressure "P" to the depth "h" where
dP and dh are both differential terms. Solve for the
pressure in the atmosphere ath = 3,000 m given the
fact that at h = 0, P = 101.325 kPa.
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