Physical Chemistry Answers

Estimate VR, HR, and SR for one of the following by suitable generalized correlations:

Sulfur dioxide at 450 K and 35 bar

Determine the total hardness of a water sample. Given

Volume of EDTA consumed for 20ml of standard hard water (V1) = 17.3 ml

Volume of EDTA consumed for 20ml of the sample hard water (V2) = 15.8 ml

There are two containers in the laboratory. One contains a solution 0.15 M in Fe3+ and 0.45 M in Fe2+, and the other contains a solution that is 0.27 M in I- and 0.05 M in I2. A piece of Platinum is immersed in each container, (a) Calculate the potential of each electrode relative to ENH at 25 °C. (b) Predict the chemical reaction that will occur when these two electrodes are connected and a salt bridge is placed to connect the two containers. 

The following cell has a potential of +1.2272 V at 25°C: Zn(s)|ZnCl2(aq 0.0005m)||Hg2Cl2(s)|Hg(l)|Pt(s). Determine E for this cell assuming the Debye Hückel equation is satisfied.

A gas sample in a cylinder has a volume of 980 mm at a temperature of 27 Celsius if you allow the piston to move while you eat the gas to 325 K what will the volume of the gas be at 325 K

acids and bases

state whether the following species can behave as an acid, as a base or both:

i) NH+4

ii) HCIO

iii) CO-2 3

The pKa of p-chlorobenzoic acid is 3.98; that of benzoic acid is 4.19. Calculate for σ p-Cl.

The even wave functions for 1D-Harmonic oscillator is given by

𝜓𝑣 = 𝑒

−𝛼𝑥

2⁄2

(𝑐0 + 𝑐2𝑥

2 + ⋯ + 𝑐𝑣𝑥

𝑣

)

Find the normalized wave functions for 𝜓0 𝑎𝑛𝑑 𝜓2.

[Given that 𝑐𝑛+2 =

2𝛼(𝑛−𝑣)

(𝑛+1)(𝑛+2)

𝑐𝑛]

The vibrational frequency of a diatomic molecule is given by,

e e e G  h v  h v )x 

2

1

) (

2

1

( ) = ( + − +

where v is the vibrational quantum number. Show that the spacing between theadjacent levels, ΔG, is

[1 2( 1) ]

e e G = h − v + x

. Deduce the expression of

dissociation energy by considering ΔG → 0 at the vibrational level where the bond

dissociates. What is the nature of the plot of ΔG vs (v + 1)? Why the plot is non

linear for the high value of v?

If 540.8 nm radiation from an argon ion laser is used as the exciting radiation, find

the wavelength of the two pure rotational Raman lines of N2 (bond length = 55 pm),

nearest the unshifted line.