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

Two different gases have exactly the same temperature. Does this mean that their molecules have the same r.m.s. speed?

Densities of two gases are in the ratio 1: 2 and their temperatures are in the ratio 2:1 , then the ratio of their respective pressure is

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules ? Is the root mean square speed of molecules the same in the three cases? If not, in which case is u_rms the largest ?

Two separate bulbs contain ideal gas A and B . The density of a gas A is twice that of a gas B . The molecular mass of A is half that of gas B . The two gases are at the same temperature. The ratio of the pressure of A to that gas B is

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?

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

Two perfect gases at absolute temperatures T_1 and T_2 are mixed. There is no loss of energy. Find the temperature of the mixture if the masses of the molecules are m_1 and m_2 and the number of the molecules in the gases are n_1 and n_2 respectively.

Two metallic wires of the same material B, have the same length out cross-sectional area is in the ratio 1:2. They are connected (i) in series and (ii) in parallel. Compare the drift velocities of electrons in the two wires in both the cases (i) and (ii) .

Two liquid A and B have vapour pressure in the ratio P_A^(@) : P_B^(@) =1.3 at a certain temperature.Assume A and B from an ideal solution and the ratio of mole fractions of A to B in the vapour phase is 4 : 3, then the mole fraction of B in the solution at the same tempreature is :

Assertion: Most probable velocity is the velocity possessed by maximum fraction of molecules at the same temperature. Reason: On collision, more and more molecules acquire higher speed at the same temperature.