0.014 kg of nitrogen is enclosed in a vessel at a temperature of `27^@C`. How much heat has to be transferred to the gas to double the r.m.s velocity of its molecules?

The ratio of vapour densities of two gases at the same temperature is 8:9. Compare the r.m.s. velocities of their molecules

R.M.S. velocity of nitrogen molecules at N.T.P. is

At what temperature, the molecules of nitrogen will yhave the same rms velocity as the molecules of oxygen at 127^@ C ?

At room temperature (27^@C) ,the rms speed of a diatomic gas molecules is found to be 1930 ms^(-1) .The gas is :

Calculate the temperature at which root mean square velocity of SO_2 is doubled than its root mean square velocity at 27^@C .

An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 ^@C . After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 ^@C . Estimate the mass of oxygen taken out of the cylinder ( R= 8.31 J mol^-1 K^-1 ’, molecular mass of O_2 = 32 u)

State whether the following statements are true or false gving reason in brief: The r.m.s. speed of oygen molecules (O_2) at a certain temperature TK is v. If the temperature is double and oxygen gas dissociates into atomic oxygen, the r.m.s. speed remains unchanged.

6xx10^(22) gas molecules each of mass 10^(-24)kg are taken in a vessel of 10 litre. What is the pressure exerted by gas molecules ? The root mean square speed of gas molecules is 100 m//s .

A rectangular loop of sides 8 cm and 2 cm with a cut is stationary between the pole pieces of an electromagnet. The magnetic field of the magnet is normal to the loop. The current feeding the electromagnet is reduced so that the field decreases from its initial value of 0.3 T at the rate of 0.02 T s^-1 . If the cut is joined and the loop has a resistance of 1.6 Omega , how much power is dissipated by the loop as heat? What is the source of this power?

STATEMENT-1 : 1//4^(th) of the initial mole of the air is expelled, if air present in an open vessel is heated from 27^(@)C to 127^(@)C . STATEMENT-2 : Rate of diffusion of a gas is inversely proportional to the square root of its molecular mass.