Answer:
The longest wavelength of radiation with enough energy to break a carbon–carbon bond is 343.75 nm.
Explanation:
E = hc/λ
E: energy = 348 000 J / 6.022 x 10²³ = 5.7788 x 10⁻¹⁹ J
h: Planck's constant = 6.62607004 × 10⁻³⁴ J.s
c: speed of light = 299 792 458 m / s
λ: wavelength
λ = hc/E
λ = (6.62607004 × 10⁻³⁴ J.s x 299 792 458 m / s) / 5.7788 x 10⁻¹⁹J
λ = 3.4375 x 10⁻⁷ m
λ = 343.75 nm
Answer:
Longest wavelength :3.44 x 10⁻⁷ m
Explanation:
The maximum wavelength of the radiation with enough energy to break carbon to carbon bonds will be given by:
E= hc/λ where h is Plancks constant for one photon,
c speed of light
E enrgy required per mol
One has to be careful in this problem to either multiply Planck`s constant by Avogadro's number to obtain the energy of a mol of photons or convert the given required energy per mol to energy per atom.
Substituting in our equation and doing the calculations:
λ = hc/E
λ = 6.626 x 10⁻³⁴ Js /mol x 3 x 10^8 m/s x 6.022 x 10²³8 mol / ( 3.48 x 10⁵ J = 3.44 x 10⁻⁷ m = 3440 nm which corresponds to the Infrared part of the spectrum.
