How high would the atmosphere extend if it were of uniformdensity throughout, eq

Question

How high would the atmosphere extend if it were of uniformdensity throughout, equal to half the present density sea level?The density is given as 1.3 kg/m^3. How high would the atmosphereextend if it were compressed down to the density of water? I got this question wrong on my homework. The teacher did notexplain nor give us the answer to this question. Can someone pleasehelp me solve it. Thank you. How high would the atmosphere extend if it were of uniformdensity throughout, equal to half the present density sea level?The density is given as 1.3 kg/m^3. How high would the atmosphereextend if it were compressed down to the density of water? I got this question wrong on my homework. The teacher did notexplain nor give us the answer to this question. Can someone pleasehelp me solve it. Thank you.

Explanation / Answer

From the equation: Pressure= (density)( g)(h) we derive h= Pressure/ (density xg) We know that the density of air is1.29 kg/m2 and the equation states that it's 1/2 the presentdensity which means 1/2(1.29kg/m2)=0.645kg/m2 ; we also know that the atmospheric pressure is1.013 x 10 to the 5 N/m2 or 101300 N/m2. So plugging all this in the equation : h= (101300N/m2)/(.645kg/m2 x9.8m/s2)= 1.6026m or 1.6 x 10 to the 4m

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