For a real gas critical volume (Vc) is '2x' times the actual volume occupied by gas molecules, 'x' value is

Excluded volume for free random motion of gas molecules is how many times the actual volume of gas molecules

1 Gram molar volume of gas occupies

Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take the diameter of an oxygen molecule to be 3Å.

(A): The heat absorbed during isothermal expansion of an ideal gas against vacuum is zero. (R): The volume occupied by the molecules is zero.

The vander waals constants a and b of a real gas are 3.6L^2 atm mol^(-2) and 0.05L mol^(-1) respectively. If 200g of gas (molecular mass 40) is placed in 10L vessel at 300K, {:("Column-I ","Column-II "),("A) Pressure correction (atm) ","P) 0.25 "),("B) Free space for the molecules to move about(L) ","Q) 0.0125 "),("C) Actual volume of the gas molecules per mole (L) ","R) 0.9 "),("D) Effective volume occupied by total gas molecules (L) ","S) 9.75 "):}

Ideal gas equation is represented as PV=nRT . Gases present in the universe were found ideal n the Boyle's temperature range only. The compressibility factor for an ideal gas, Z= (PV)/(nRT) . The main cause to show deviations were due to wrong assumptions made bout forces of attractions (which becomes significant at high pressure). olume occupied by molecules V, in PV = nRT, is supposed to be volume of as or, the volume of container in which gas is placed by assuming that aseous molecules do not have appreciable volume. Actual volume of the as is that volume in which each molecule of a gas can move freely. If olume occupied by gaseous molecule is not negligible, then the term V hould be replaced by the ideal volume which is available for free motion of ach molecule of gas. Similarly for n moles of gas V_("actual") = V-nb The excluded volume can be calculated by considering bimolecular collisions. The excluded volume is the volume occupied by the sphere of 2r for each pair of molecule. Thus, excluded volume for one pair of molecules = 4/3 pi (2r)^3 = (4 xx 8 pi r^3)/3 The excluded volume for 1 molecule = 2/3 xx 8 pi r^3 = 4 xx (4/3 pi r^3) = 4V The excluded volume for N molecules = 4NV = b (where N is Avogadro's No.) The compressibility factor for N_2 at -50^@C and 800 atm pressure is 1.95. Number of moles of N_2 required to fill a balloon of 100 L capacity is :

The molar volume of any gas at STP is

The vapour density of a gas is 11.2. The volume occupied by 10g of the gas at STP is