The wavelength of a photon that has an energy of 7.53* 10^-32

= 2.64 × 10^7 m

Explanation:

Energy is given by the formula;

E = hc/λ

Where h is Planck’s constant (= 6.626 x 10^-34 Js), c is the speed of light (3.00 x 108 m/s) and λ is the wavelength in meters.

Therefore, wavelength will be given by;

λ = hc/E

  = (6.626× 10^-34 × 3 × 10^8)/(7.53 × 10^-32)

  = 2.64 × 10^7 m

here we have to get the change of moles on decrease the volume of the reaction in gas phase.

the   per the given options it will decrease by (d) 11-50%

we know, on decreasing the volume of the gas phase reaction the reaction moves to the product side.

the reaction:                     so₂cl₂ (g) = so₂ (g) + cl₂ (g)         total

the moles at equilibrium:   1 - α                 α               α           = 1+α

concentrations:                   1 - α               α               α           = 1 + α

(concentration = moles/volume, as volume is 1 l)

(where α is the degree of dissociation)

now the dissociation constant in terms of concentration is :

=  

or,

or,   = (at v = 1l)

the reaction:                     so₂cl₂ (g) = so₂ (g) + cl₂ (g)         total

the moles at equilibrium:   1 - α                 α               α           = 1+α

concentrations:               (1 - α)/0.5           α/0.5         α/0.5       = (1 + α)/0.5

thus, the dissociation constant in terms of concentration is :

or,  

=  

so, the change of 1 : 1/0.5

or, 1: 2

thus it will decrease by 50%.

or, as per the given options it will decrease by 11-50%