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The energy required to break one mole of C l - C l bonds in C l 2 is 242 kJ m o l - 1 . The longest wavelength of light capable of breaking a single C l - C l bond is ( C = 3 × 1 0 8 m s - 1 and N A = 6.02 × 1 0 23 m o l - 1 )

Options

  1. A594 nm
  2. B640 nm
  3. C700 nm
  4. D494 nm

Correct answer

D. 494 nm

Step-by-step solution

Energy required to break one mole of C l - C l bonds in C l 2 = 242 × 1 0 3 6.023 × 1 0 23 = h c λ = 6.626 × 1 0 - 34 × 3 × 1 0 8 λ So λ = 6.626 × 1 0 - 34 × 3 × 1 0 8 × 6.023 × 1 0 23 242 × 1 0 3 = 0.4947 × 1 0 - 6 m = 494.7 n m

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