Argon Field

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Argon Field
Argon Field
Someone help with JEST 2008 physics question?


1. Equal volume of H2 and O2 gases are in thermal equilibrium in a chamber. Then
(a) the average energy of H2 and O2 molecules are same.
(b) the average energy of O2 molecule is eight times higher than H2 molecules.

2. The density of gas molecules in a room in STP is approximately
(a) 1025 molecules/m3 (b) 1020 molecules/m3

3. A particle is in rest in a quantum mechanical box of length L. If the size of the box is reduced slowly to L/2, then the energy of the particle
(a) remains unaltered (b) increases twice (c) reduces to half

4. Three charges -2q, +q, and +q are placed at (-a, 0), (0, 0), and (+a, 0). At r>>a, the electric field varies as,
(a) 1/r (b)1/r2 (c)1/r3 (d) 1/r4

5. Of the below liquids, which one has the very low boiling point
(a) Nitrogen (b) Helium (c) Hydrogen (d) Argon

1. H2 and O2 have the same number of rotational/translational degrees of freedom. The answer is thus (a).
2. Use gas law pV=NkT, where k=Boltzman constant.
3. No particle confined in space is ever at rest (due to the uncertainty principle). Presumably who wrote the questions means that the particle is in the groundstate of the potential well.
The energy of the particle in a box having infinite potential walls is

E=hb^2(kx^2+ky^2+kz^2)/(2m)
(where hb denotes Planck's constant divided by 2 pi)

Now kx=nx pi/Lx, ky=ny pi/Ly , kz=nz pi/Lz., where nx,ny,nz are positive (non-zero) integers. Assume that Lx=Ly=Lz=L. Then:
E=hb^2 pi^2(nx^2+ny^2+nz^2)/(2m L^2). Hence, if L is slowly reduced by half, the energy increases a factor of four.The quantum numbers nx, ny, nz do not change if L is changed adiabatically (infinitely slowly).
Whoever wrote this problem sure botched it.

4. The total charge is zero, but the distribution has a nonzero dipole moment. The electric field is that of a dipole, which varies as 1/r^3 (inverse cube of the distance).

5. Helium. To my knowledge, Hydrogen solidifies at atmospheric pressure at a lower temperature as Helium, but the question refers to a liquid-gas phase transition, not solid-gas. I'm not completely sure about this one, though.



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Nanoballoon - C60 fullerene filled with argon atoms



Please help me in field of Chemical Euqilibrium...?


My question is this:

There is a euqilibrium system, containing N2,H2 and NH3. The equation of the system is:

N2(g) + 3H2(g) <=> 2NH3(g)

If we add an amount of Argon (Ar, Z=36) gas to the system, What will happen on the euqilibrium, and amount of the N2,H2 and NH3? Does Euqilibrium System changed?

(Notice that the amount of the Argon gas is not so much to reduce the system's volume in a notable size.)

Since the amount of the Argon gas is not so much to reduce the system's volume in a notable size, the PARTIAL PRESSURES of the reactants and the product is also affected in a small way.

Moreover Argon is inert.

Due to change in partial pressure , only the equlibrium constant is affected. Thus the time of attainment of chemical equilibrium is affected and the POSITION OF CHEMICAL EQUILIBRIUM remains UNAFFECTED.

The amount of N2, H2, NH3 remains the same as it was before addition of argon.