### Air Pressure at Altitude Calculator :

Enter the Pressure at sea level (P₀) in hPa, Altitude (h) in meters(m), Temperature (T) in °C, Pressure (P) in hpa, and you get the calculation in below the calculator.

### Air Pressure at Altitude Formula :

Air pressure at Altitude formula is P_{(pa)} in pascal is equal to the pressure at reference level p_{0(pa)} in pascal and multiply the exp and multiply the minus gravitational acceleration -g_{(m/s2)} in meter per second^{2} and multiply the molar mass of air M_{(kg/mol)} in kilogram per mole and multiply the altitude air pressure h_{(m) }in meter and minus the altitude air pressure h_{0(m)} in meter and divided by the universal gas constant R_{(Nm/mol-k)} in Newton per meter or moler Kelvin and multiply the temperature at Altitude T_{(k)} in Kelvin. Hence the Air pressure at Altitude formula can be written as

P_{(pa)}=p_{0(pa)} *exp (-g_{(m/s2)}* M_{(kg/mol)}(h_{(m)}-h_{0(m)})/(R_{(Nm/mol-k)}* T_{(k)})

where;

H= altitude at which we want to determine the air pressure and is expressed in units m

P= air pressure at Altitude h

P_{0}= pressure at reference level h_{0},Ingeneral , reference level is at sea level and h_{0}=0

T=temperatue at Altitude h and is given in units kelvins

G= gravitational acceleration and for earth its value is g=9.80665 m/s^{2}

M=molar mass of air and for eartly air M=0.0289644 kg/mol

R= universal gas constant and its value is equal to R=8.31432 Nm/(mol-k)

### Example:1

Calculate the air pressure at Altitude 90pa and height 55m and temperature 50k.Find the Air pressure?

### Solution:

P_{0}=90 pa

H=55m

T=50K

P=p_{0}*exp (-g*M(h-h_{0})/(RT)

P=90*exp(9.80665*0.0289644*(55-0)/(8.31432*50)

=86.680 pa

### Example:2

Calculate the air pressure at Altitude 55pa and height 15m and temperature 24k.Find the Air pressure?

### Solution:

P_{0}=55 pa

H=15 m

T=24 K

P=p_{0}*exp (-g*M(h-h_{0})/(RT)

P=55*exp(9.80665*0.0289644*(15-0)/(8.31432*24)

=53.8380 pa