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 ?

Equal volumes of gases at the same temperature and pressure contain equal number of particles. This statement is a direct consequence of

Two vessels of the same size are at the same temperature. One of them holds on kg of H_2 gas and another 1 kg of N_2 gas. Which of the vessels contains more molecules?

Three flasks of equal volumes contain CH_(4),CO_(2), " and "Cl_(2) gases respectively. They will contain equal number of molecules if :

A vessel contains two non-reactive gases, neon (monatomic) and oxygen (diatomic). The ratio of their partial pressures is 3.2. Estimate the ration of (i) number of molecules and (ii) mass density of neon and oxyge in the vessel. Atomic mass of Ne- 20.2 u, molecular mass of O_2 = 32.0 u.

The vapour pressure of water at 80^(@)C is 355 mm of Hg. 1 L vessel contains O_(2) at 80^(@)C , which is saturated with water and the total pressure being 760 mm of Hg. The contents of the vessel were pumped into 0.3 L vessel at the same temperature. What is the partial presure of O_(2) ?

Three closed rigid vessels, A, B and C, which initially contain three different gases at different temperatures are connected by tube of negligible volume, without any energy transfer with surroundings. The vessel A contain 2 mole Ne gas, at 300 K, vessel 'B' contain 2 mole SO_(2) gas at 400 K and vessel 'C' contain 3 mole CO_(2) gas at temperature 500 K. What is the final pressure (in atm) attained by gases when all valves of connecting three vessels are opened and additional 15.6 kcal hear supplied to vessels through valve. The volume of A, B and C vessel is 2, 2 and 3 litre respectively Given :R =2 calorie/mol-K, C_(v)(Ne)=3//2R,C_(v)(CO)=5//2R and C_(v)(SO_(2))=3R

A vessel of uniform cross-section of length 500 cm as shown in figure is divided in two parts by a weightless and frictionless piston one part contains 5 moles of He(g) and other part 2 moles of H_(2)(g) and 4 moles of O_(2)(g) added at the same temperature and pressure in which reaction takes place finally vessel cooled to 300 K and 1 atm. What is the length of He compartment? (Assume volume of piston and vol. of H_(2)O(l) formed are negligible)