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Assuming that the atmospheric pressure at sea level is 1 atm, what is the pressure at a height of 500 m? Assume that at both

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Answer #1

Pressure on a given height P can be calculated as,

P = P0 exp ( - (Mg/ RT) h)

Where,

P0 is the atmospheric pressure at sea level.

M is the molar mass of air on Earth.

g is the acceleration due to gravity.

R is the gas constant.

T is the temperature.

As, Mg/R = constant = 0.03416

Therefore the formula become,

P = P0 exp ( -(0.03416) h/T) ... (1)

Given value of P0 = 1 atm , h = 500 m, T = 300 K

Substituting in eq (1),

P = 1. exp ( - ( 0.03416 ) 500/300 ) atm

Therefore , P = 0.944 atm ( Answer)

Hence the last option is correct.

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