+91-87964 74404
FlagBACK
Question icon
Grade upto college level Physical Chemistry

The density of the vapour of a substance at 1 atm pressure and 500 k is 0.36 kg m-3. The vapour effuses through a small hole at a rate of 1.33 times faster than oxygen under the same condition.
(a) Determine
(i) Molecular weight,
(ii) molar volume,
(iii) Compression factor (Z) of the vapour and
(iv) Which forces among the gas molecules are domination, the attractive or the repulsive?
(b) If the vapour behaves ideally at 1000 K, determine the average translational kinetic energy f a molecule.

Profile image of Shane Macguire
12 Years agoGrade upto college level
Answers icon

1 Answer

Profile image of Deepak Patra
12 Years ago
(a) d = 0.36 kg m-3 = 0.36 g/L
(i) From Graham’s Law of diffusion
\frac{r_{v}}{r_{O_{2}}} = \sqrt{\frac{M_{O_{2}}}{M_{v}}} ; 1.33 = \sqrt{\frac{32}{M_{v}}}
∴ Mv = 32/(1.33)2 = 18.09;
Where Mv = MW of the vapour
(ii) Thus, 0.36g = 0.36/18.09 mol
0.36/18.09 mol occupies 1 L volume, so 1 mol occupies
18.09/0.36 L = 50.25L
Thus, molar volume of vapour = 50.25 L
Assuming ideal behavior the volume of the vapour can be calculated by
V1/T1 = V2/T2 => 22.4 * 500/273 = 41.025L
(iii) Compressibility factor (Z)
= (PV)obs/(PV)ideal = 1 *50.25/1 *41.025 = 1.224
(iv) Z is greater than unity, hence it is the short range repulsive force that would dominate.
(∵ actual density is less than given density)
(b) E = 3/2 KT = 3/2 * 8.31/6.02 *1023 *100
= 2.07 *10-20 J per molecule
(∵ K, Boltzmann constant = R/N)

Other Related Questions on physical chemistry

question mark
Which of the following aqueous solutions remains neutral after
electrolysis
physical chemistry
0 Answer Available

Last Activity: 3 Years ago

question mark
In the reaction A + 2B ⇌ 2C, if 2 moles of A, 3 moles of B and 2 moles of C are placed in a 2 L flask and
the equilibrium concentration of C is 0.5 mol/L. The equilibrium constant (KC) for the reaction is.....and please tell how you know that the reaction is going forward .. imean how to calculate the reaction quotient ???
 
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
True or false when an electron in ground state of hydrogen atom is excited with an energy that is greayer than e2-e1 but less than e3-e1 the electron will get excited n=2
physical chemistry
1 Answer Available

Last Activity: 3 Years ago

question mark
18 19 gram mixture of na2co3 and nahco3 on heating gives 2.2 gram CO2 gas find the percent nahco3 (by mass) in mixture
physical chemistry
1 Answer Available

Last Activity: 4 Years ago

question mark
A 100 cm cube solution of sodium carbonate is prepared by dissolving 8.653 g of salt in water the density of solution is 1.0816g per ml what are the molarity and molality of the solution.
 
physical chemistry
1 Answer Available

Last Activity: 4 Years ago