Energy from radiation can cause chemical bonds to break. To break a nitrogen-nitrogen bond in N2 gas, 941kJ/mole is required. a. Calculate the wavelength of radiation that could break the bond.
b. In what spectral range does this radiation occur?

a) 1.269 × 10^-7 m

b) This wavelength occurs in the ultraviolet region of the electromagnetic spectrum

Explanation:

The energy required to break the bond= energy of the incident photon

E= 941 × 10^3/6.02 × 10^23 = 1.56 ×10^ -18 J

From

E= hc/λ

h= Plank's constant

c= speed of light

λ= wavelength of incident photon

λ= hc/E

λ= 6.6 ×10^-34 × 3 ×10^8/1.56 ×10^ -18 J

λ= 1.269 × 10^-7 m

b) This wavelength occurs in the ultraviolet region of the electromagnetic spectrum

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answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole