A tire is filled with air at `15^(@)C` to a gauge pressure of `1.9xx10^(5)` Pa. If the tire reaches a temperature of `40^(@)C`, what fraction of the original air must be removed if the original pressure of `1.9xx10^(5)` Pa is to be maintained ?

Give the order of the following : Atmospheric pressure ( 1.01xx10^(5) Pa)

A compressed cylinder of gas contains 1.50xx10^(3) g of N_(2) gas at a pressure of 2.0xx10^(7) Pa and a temperature of 17.1^(@)C . What volume of gas has been released into the atmosphere if the final pressure in the cylinder is 1.80xx10^(5) Pa ? Assume ideal behaviour and that the gas temperature is unchanged.

A steel tank contains 300 g of ammonia gas (NH_(3)) at a pressure of 1.35 xx 10^(6) Pa and a temperature of 77^(@)C . Later the temperature is 22^(@)C and the pressure is 8.7 xx 10^(5) Pa .

A contair of volume 0.1m^(3) is filled with nitrogen at a temperature of 47^(@) C and a gauge pressure of 4.0xx10^(5) Pa. After ome time, due to leakage, the gauge pressure drops to 3.0xx10^(5) Pa and the temperature to 27^(@) C. The mass of nitrogen that has leaked out is about-

The gauge pressure of 3xx10^(5)N//m^(2) must be maintained in the main water pipes of a city how much work must be done to pump 50,000 m^(3) of water at a pressure of 1.0xx10^(5)N//m^(2)

Oxygen is filled in a closed metal jar of volume 1.0xx10^(-3)m^(3) at a pressure of 1.5xx10^(5)Pa. and temperature 400K.The jar has a small leak in it. The atmospheric pressure is 1.0xx10^(5) Pa and the atmospheric temperature is 300K. Find the mass of the gas that leaks out by time the pressure and the temperature inside the jar equlise with the surrounding.

Air is filled in a motor tube at 27^(@)C and at a pressure of 8 atmospheres.The tube suddenly bursts, then temperature of air is [Given gamma of air =1.5 ]

A manometer tube contains mercury of density 13.6 xx 10^(3) kg m^(-3) . What difference in the levels of mercury in the two arms is indicated by a gauge pressure of 1.03 xx 10^(5) Pa ?