Assume that the temperature remains essentially constant in the upper part of the atmosphere. Obrain an epression for the variation in pressure in the upper atmosphere with height, the mean molecular weight of air is M.

Assume that the temperature remains essentially constant in the upper part of the atmosphere. Obtain an expression for the variation in pressure in the upper atmosphere with height h, and the mean molecular weight of air is M.

Assume that the temperature remains essentially constant in the upper parts of the atmosphere. The atmospheric pressure varies with height as. (the mean molecular weight of air is M, where P_(0)= atmospheric pressure at ground reference)

Explain the variation of atmospheric pressure due to height of the air column.

Statement I:In the upper part of the atmosphere.the temperature of air is of the order of 1000 K,even then it is quite cold there. Statement II:Molecular density at high altitude is low.

(a) Assume the atmosphere as an ideal gas in static equilibrium at constant temperature T0. The pressure on the ground surface is P0. The molar mass of the atmosphere is M. Calculate the atmospheric pressure at height h above the ground. (b) To be more realistic, let as assume that the temperature in the troposphere (lower part of the atmosphere) decreases with height as shown in the figure. Now calculate the atmospheric pressure at a height h0 above the ground.

Show that the internal energy of the air (treated as an ideal gas) contained in a room remains constant as the temperature changes between day and night. Assume that the atmospheric pressure around remains constant and the air in the room maintains this pressure by communicating with the surrounding through the windows, doors, etc.