In the upper part of the atmosphere the kinetic temperature of air is of the order of 1000 K, even then one feels severe cold there. Why?

In the upper part of the atmosphere the kinetic temperature of air is

1.	In the upper part of the atmosphere the kinetic temperature of air is of the order of 1000 K, even then one feels severe cold there. Why?
Answer» Solution :(i) As we go up in the atmosphere, the NUMBER of air molecule per unit volume decreases. (ii) The QUANTITY of heat per unit volume or the heat density is low. (iii) But the translational K.E per molecule is quite large. As the temperature is the measure of K.E, so temperature is HIGH in the upper atmosphere but one FEELS cold due to low heat density. (iv) Accumulate to the law of equipartition of energy average energy of each molecule = `(5)/(2)K_(B)T`. (v) `therefore` Internal energy of one molecule of the GAS. `U=(5)/(2)k_(B)TxxN_(A)=(5)/(2)RT` `C_(v)=(dU)/(dt)=(5)/(2)R,C_(p)=C_(r)+R=(5)/(2)R+R=R((5)/(2)+1)` `gamma=(C_(p))/(C_(v))=(((5)/(2)+1)R)/((5)/(2)R)=1+(2)/(5)` `therefore gamma=1+(2)/(5)`