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When a certain gas under a pressure of 5.00 x 10^6 Pa at 25.08 oC is allowed to expand to 3.00 times its original volume, its final pressure is 1.07 x 10^6 Pa. What is its final temperature?
State the assumptions that are made in the kinetic theory of gases and derive an expression for the pressure exerted by a gas which conforms to these assumptions, in terms of density and the root mean square velocity of its molecles
Assuming the density of nitrogen at s.t.p to be 1.251 kgm^-3, find the root mean square velocity of nitrogen molecules at 127 oC.
Use the concepts of the elementary kinetic theory of gases to derive an expression for the root mean square velocity of the molecules of a gas(Nitrogen) in terms of the pressure and density of the nitrogen gas.

Air conditioner are often rated in EER instead of COP . The meaning is the same but the units are different COP = Qc/ E electrical is in J/J and EER = QC / E electrical is in BTU/h / W Convert a COP of 3.2 to EER


Explain what is mearnt by the root mean square velocity of the molecules of a gas.
State Boyle's law and Charles' law and show how they may be combined to give the equation of state of an ideal gas.
At what temperature would the average speed of helium atoms equal the escape speed from the Earth, 1.12 x 10^4 m/s, the mass of a helium atom being = 6.64310227 kg
A cylinder contains a mixture of helium and argon gas in equilibrium at 150 oC.
(a) What is the average kinetic energy for each type of gas molecule?
(b) What is the rms speed for each type of gas molecule?
How many atoms of helium gas fill a spherical balloon of diameter 30.0 cm at 20.08 oC and 1.00atm? What is the average kinetic energy of the helium?
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