If air is assumed to be at temperature 290K with molar mass 29 gm/mol and g=`10m//s^(2)` then change in pressure at height 8.314km and ground level as a fraction of pressure at ground level is given by:

Let us assume that air is under standard conditions close to the Earth's surface. Presuming that the temperature and the molar mass of air are independent of height, find the air pressure at the height 5.0 km over the surface and in a mine at the depth 5.0 km below the surface.

Calculate the pressure of a gas whose molar mass is 29.3 g mol^(-1) having density 1.29 kg m^(3) at 273 K temperature

Calculate the pressure of a gas whose molar mass is 29.3 g mol^(-1) having density 1.29 kg m^(3) at 273 K temperature

(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.

What would be the height of the atmosphere if the air density (a) were uniform and (b) decreased linearly to zero with height? Assume that at sea level the air pressure is 1.0 atm and the air density is 1.3 kg/ m^(3)

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)

A ball falls of a table and reaches the ground in 10 s. Assuming g=10m//s^(2) , calculate its speed on reaching the ground and the height of the table.

A ball falls of a table and reaches the ground in 10 s. Assuming g=10m//s^(2) , calculate its speed on reaching the ground and the height of the table.

A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon when it was at a height of 75 m from the ground level. The height of the balloon from the ground when object strikes the ground was around : (takes the value of gas 10 m//s^2)