Dependency of the barometric pressure on the altitude is given by the formula
P=P0exp(−RTMgh)
P0=101.325 kPa,g−=9.807 m/s2,
M=0.02896 kg/mol,T=288.15 K
R=8.3143 (N⋅m)/(mol⋅K)
a. h=1043 ft=1043⋅0.3048 m=317.9064 m
P=101.325 kPa⋅
exp(−8.3143 (N⋅m)/(mol⋅K)⋅288.15 K0.02896 kg/mol⋅9.807 m/s2⋅317.9064 m)
=97.775 kPa
97.775 kPa≈28.8146 inches Hg
b. h=2922 m
P=101.325 kPa⋅
exp(−8.3143 (N⋅m)/(mol⋅K)⋅288.15 K0.02896 kg/mol⋅9.807 m/s2⋅2922 m)
=71.660 kPa
71.660 kPa≈21.1613 inches Hg
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