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What is the rate of change of pressure with altitude at a geopotential altitude of 10 km? Given, temperature at 10 km is 222.6 K, specific gas constant is 287 J/kg.K and acceleration due to gravity is 9.81 m/s2.

What is the rate of change of pressure with altitude at a geopotential altitude of 10 km? Given, temperature at 10 km is 222.6 K, specific gas constant is 287 J/kg.K and acceleration due to gravity is 9.81 m/s2. Correct Answer 1.54 x 10-4 per meter

Given, Acceleration due to gravity (g) = 9.81 m/s2 Specific gas constant (R) = 287 J/kg.K Temperature (T) = 222.6 K Combining hydrostatic equation and equation of state we get, Change in pressure with altitude, (dp/p)/dh = g/(RT) = 9.81/(287*222.6) = 1.54 x 10-4 per meter

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