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Question:

0₂ undergoes photochemical dissociation into one normal oxygen atom and one oxygen atom 1.967 V more energetic than normal. The dissociation of O, into two normal atom of oxygen REQUIRES 498 kdmol. What is the MAXIMUM wavelength EFFECTIVE for photo CHEMICAL dissociation of 0₂ ?

ㅤㅤㅤㅤㅤOR

O₂ undergoes photo chemical dissociation into 1 normal oxygen atom (0) and more energetic oxygen atom (0*). If O* has 1.967 eV more energy than O and normal dissociation energy of O, is 498 kJ mol-¹. What is the maximum wavelength effective for the Photo Chemical dissociation of O₂?

ANSWER:

★ \textbf{Dissociation energy = } 498 {  \text{ \: kj \: mol} }^{ - 1}

=  \frac{498 \times 100}{6.02 \times  {1 0}^{23} }  {\text{ \:J \: molecule } }^{ - 1}

= 8.27 \times  {10}^{ - 19} {\text{ \:J \: molecule } }^{ - 1}

★\text{Excitation energy to form O*}  = 1.967 \:  {\text{eV \: } \text{atom} }^{ - 1}

= 1.967 \times 1.602 \times  {10}^{ - 19}  \: \text{J}   \:  {\text{atom} }^{ - 1}

= 3.15 \times  {10}^{ - 19}   \: \text{J}   \:  {\text{atom} }^{ - 1}

\textbf{★Total Energy = } 8.27 \times  {10}^{ - 19}  + 3.15 \times  {10}^{ - 19} \text{J}

= 11.42 \times  {10}^{ - 19}\text{J}

∴E =  \frac{hc}{λ}

⇒λ =  \frac{hc}{E}  =  \frac{6.625 \times  {10}^{ - 34} \text{J}  \times 3 \times  {10}^{8} m}{11.42 \times  {10}^{ - 19} \text{J}}

= 174 \times  {10}^{ - 9} m = 174 \: nm

\\  \\  \\  \\ \sf \colorbox{lightgreen} {\red★ANSWER ᵇʸɴᴀᴡᴀʙ}



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