The compression factor (compressibility factor) for 1 mol of a van der

For 1 mol of a gas, the van der Waals equation is (P+(a)/(V(m)^(2)))(V(m)-b)=RT Ignoring b, we get (given volume of gas molecule is negligible) (P+(a)/(V(m)^(2)))V(m)=RT ltbgt or pV(m)+(a)/(V(m))=RT or (pV(m))/(RT)+(a)/(V(m)RT)=1 or Z=(pV(m))/(RT)=1-(a)/(V(m)RT) (i) It is given that Z=(pV(m))/(RT)=0.5implies V(m)=(0.5RT)/(P) With this, equation (i) becomes 0.5=1-(a)/((0.5RT//p)RT) or a=(0.5)((0.5RT)/(p))RT=0.25(R^(2)T^(2))/(p) Substiuting the given values, we get a=(0.25)[((0.082L atm K^(-1)mol^(-1))^(2)(273 K)^(2))/((100 atm))] =1.2528 L^(2) atm mol^(-2)

Maxwell's speed distribution curve

At 30^(@)C and 720 mm and Hg, the density of a gas is 1.5 g// l t. Cal

Two flask A and B have equal volume. Flask A contains H(2) and is main

One mole of a monoatomic real gas satisfies the equation p(V-b)=RT wh

The root mean square velocity of the molecule is inversely proportiona

The density of the vapour of a substance at 1 atm pressure and 500 K i

Distribution of molecules with velocity is represented by the curve

Van der Waal's equation of state is obeyed by real gases. For n moles

A mixture containing 1.12 L of H(2) and 1.12 L of D(2) ( deuterium ) a

When 3.2 gm of sulphur is vapourized at 450^(@)C and 723 mm pressure

A 2.0 L container at 25^(@)C contain 1.25 mol of O(2) and 3.2 mol of C

A 4:1 molar mixture of He and CH(4) is contained in a vessel at 20 bar

A mixture of ideal gases is cooled up to liquid helium temperature (4.

The composition of the equilibrium mixture (Cl(2) 2Cl) , which is att