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hypsometric equation

Input interpretation

hypsometric equation
hypsometric equation

Equation

P_2 = P_r exp(-(g (H_2 - H_r))/(287.003 T_r)) |  P_2 | final pressure P_r | reference pressure T_r | reference temperature H_r | reference altitude H_2 | altitude g | standard acceleration due to gravity on the surface of the earth (≈ 9.807 m/s^2) (only valid if temperature constant between altitude levels)
P_2 = P_r exp(-(g (H_2 - H_r))/(287.003 T_r)) | P_2 | final pressure P_r | reference pressure T_r | reference temperature H_r | reference altitude H_2 | altitude g | standard acceleration due to gravity on the surface of the earth (≈ 9.807 m/s^2) (only valid if temperature constant between altitude levels)

Units

Input values

reference pressure | 0.5 atm (atmospheres) reference temperature | 220 K (kelvins) reference altitude | 5 km (kilometers) altitude | 20 km (kilometers)
reference pressure | 0.5 atm (atmospheres) reference temperature | 220 K (kelvins) reference altitude | 5 km (kilometers) altitude | 20 km (kilometers)

Result

final pressure | 48.66 matm (milliatmospheres) = 4.931 kPa (kilopascals) = 4931 Pa (pascals) = 0.7151 psi (pounds-force per square inch) = 103 lbf/ft^2 (pounds-force per square foot) = 0.04866 atm (atmospheres) = 36.98 mmHg (millimeters of mercury) = 49.31 mbar (millibars)
final pressure | 48.66 matm (milliatmospheres) = 4.931 kPa (kilopascals) = 4931 Pa (pascals) = 0.7151 psi (pounds-force per square inch) = 103 lbf/ft^2 (pounds-force per square foot) = 0.04866 atm (atmospheres) = 36.98 mmHg (millimeters of mercury) = 49.31 mbar (millibars)