Answer:
5.72 × 10⁻³¹ m
Step-by-step explanation:
Step 1: Given and required data
- Energy to break 1 mole of C-C single bonds (E): 348 kJ
- Planck's constant (h): 6.63 × 10⁻³⁴ J.s
- Speed of light (c): 3.00 × 10⁸ m/s
Step 2: Calculate the longest wavelength of light (λ) with energy sufficient to break this bond
We will use the Planck-Einstein relation.
E = h × c/λ
λ = h × c/E
λ = (6.63 × 10⁻³⁴ J.s) × (3.00 × 10⁸ m/s)/(348 × 10³ J) = 5.72 × 10⁻³¹ m