Question

The atmospheric pressure varies proportionally from sea level to height, and the air temperature drops by 6K for every T km increase (a) Draw a cylindrical volume that is height inside the atmosphere, and then calculate the pressure change and expression (dP/dy-pg) depending on the height. (b) obtain the temperature change of the atmosphere accordingto the height y(km) in the place where the sea level (y-0) is at ToK temperature. (c) obtain a barometric equation which allows for the change in atmospheric pressure (atm) according to height (km). However. the relationship between density (p) and pressure (P) uses the full gas law ρ PM/RT, where R is the gas constant (8.314 N m/K) and M is the molecular weight of the gas. (d) What is the atmospheric pressure at the summit of Everest, which is 8.8 km above sea level. and the summit of Mt. Baekdu. 2.8 km above sea level respectively? However, the temperature of the sea level is considered 20°c (293.15 K)

Answer 1

d^ mg Earth on the Sutae essure Psesuse ot a heiaht dy from the earth Susta<, Bs fosce balance.

df Pse ue decrease as Uve ao avay -from earth nto atmasphere. Form idcol gas euahm m - number 4 meles olecul nnass m RT RT PM RT .' dp PM RT 8M R-T dp RT

RT 二〇 (Since ontne earm he ic- RT 又 (ok aru heiat im ?a = 1.01325 bas

b)Assuming tempes ature is vacing neary :. Tempesatue at any height from eh sutfae