(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.

(a) Assume the atmosphere as an ideal gas in static equilibrium at con

1.	(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.
Answer» Correct Answer - (a) `P=P_(0)`e^((-Mgh)/(RT)) " "(b) P=P_(0)((5)/(4))^(-(5Mgh_(0))/(RT_(0)))`

Discussion

No Comment Found

Related InterviewSolutions

To what temperature in `.^(@)C` a gas has to be heated to produce 10% change in volume at constant pressure, if the initloa temperature of the gas is at `0^(@)C`?A. 17.3B. 27.3C. 33.3D. 13.15
If the pressure of an ideal gas is decreased by 10% isothermally, then its volume willA. decrease by 9%B. increase by 10%C. increase by 11.6%D. increase by 9%
By what percentage should the pressure of a given mass of a gas be increased so as to decrease its volume by 10% at a constant temperature?A. `8.1%`B. `10.1%`C. `9.1%`D. `11.1%`
A certain volume of dry air at `20^(@)C` is expanded to three thimes its volume (i) Slowly, (ii) suddenly. Calculate the final pressure and temperature in each case. Atmosperic pressure `= 10^(5) Nm^(-2), gamma` of air = 1.4
The volume of a gas at `20^(@)C` is 100 cm 3 at normal pressure. If it is heated to `100^(@)C` , its volume becomes 125 cm 3 at the same pressure, then volume coefficient of the gas at normal pressure isA. `0.0033//.^(@)C`B. 0.0030/`.^(@)C`C. 0.0025/`.^(@)C`D. 0.0021/`.^(@)C`
One litre of helium gas at a pressure `76 cm`. Of Hg and temperature `27^(@)C` is heated till its pressure and volume are double. The final temperature attained by the gas is:A. `327^(@)C`B. `927^(@)C`C. `1027^(@)C`D. `827^(@)C`
An ideal gas has volume`V_(0)` at . `27^(@)C` It is heated at constant pressure so that its volume becomes . `2V_(0).`The final temperature isA. `327K`B. `327^(@)C`C. `54^(@)C`D. `150^(@)C`
`250 litre` of an ideal gas is heated at constant pressure from `27^(@)C` such that its volume becomes `500 litre`. The final temperature isA. `54^(@)C`B. `300^(@)C`C. `327^(@)C`D. `600^(@)C`
A gas at pressure P is abiabatically compressed so that its density becomes twice that of initial value. Given that `gamma=C_(p)//C_(v)=(7//5)` , What will be the final pressure of the gas ?A. `2p`B. `(7)/(5)`C. 2.63 pD. p
To what temperature should the oxygem at `27^(@)C` be heated at constant pressure, so that the root mean square velocity of its molecules becomes thrice of its previous value.A. `2700^(@)C`B. `2700K`C. `2327^(@)C`D. 270K

Discussion

No Comment Found

Related InterviewSolutions

Reply to Comment