Question

Mount Alberta in Jasper National Park, Alberta, has an elevation of 3620 m above sea level. Determine the atmospheric pressure at the top of Mount Alberta, assuming a sea level pressure of 101 kPa and a temperature of 12°C. (Consider that the average molar mass of air is 29 g/mol.)

Answer 1

We know the ideal gas equation

  

Where, P is the pressure

M is the molar mass

R = 287 J-kg / K is universal gas constant

T is absolute temperature

is density of the substance

Given, Molar mass of air is M = 29 g / mol = 0.029 kg / mol

T = 12^o C = 12 +273.15 K = 285.15 K

Sea level pressure , P₀ = 101 kPa = 101000 Pa

So, we can write

or,

   or,

The barometric formula for pressure calculation with varying altitude is given by

Where, P₀ = 101 kPa = 101325 Pa

P is pressure at a given point (we will take P = P₀)

g = 9.8 m/s² is acceleration due to gravity

h = 3620 m

So,   

or,   

Therefore,

  

For any doubt please comment.