Kinetic Theory ...

When an ideal monoatomic  gas is heated zt constant pressure , which of the following may be true

The kinetic energy for 14 grams of nitrogen gas at  $$127$$  is nearly (mol. mass of nitrogen  $$= 28$$  and gas constant  $$=8.31{ JK }_{ -1 }{ mol }_{ -1 }$$ )

$$2$$ grams of mono atomic gas occupies a volume of $$2$$ litres at a pressure of $$8.3 \times 10^5$$ Pa and $$127^0C$$. Find the molecular weight of the gas.

Two moles of an ideal gas X occupying a volume V excert a pressure P. The same pressure is excert by one mole of another gas Y occupying a volume 2V. (if the molecular weight of Y is 16 times the molecular weight of X), find the ratio of the 'rms' speed of the molecular of X and Y.

The  maximum speed of the molecules of a gas in a vessel is $$400\ m/s$$. If half of the gas leaks out, at constant temperature, the $$rms$$ speed of the remaining molecules will be-

Heat is added to an ideal gas, and the gas expands. In such a process the temperature 

The rms speed of $${ N }_{ 2 }$$ molecular at STP (P=1 tm; T=$${ 0 }^{ 0 }C$$) is.....
(the density of $${ N }_{ 2 }$$ in these conditions is 1.25 $${ kg/m }^{ 3 }$$

On increasing temperature of the reacting system by $$10$$ degrees the rate of reaction almost doubles. The most appropriate reason for this is

Two spherical vessel of equal volumes, are connected by a narrow tube. The apparatus contains an ideal gas at one atmosphere and 300K. Now if one vessel is immersed in a bath of constant temperature 600 K and the other in a bath of constant temperature 300 K. Then the common pressure will be

A real gas most closely approaches the behaviour of an ideal gas at :