Question

It takes 412. KJ/mol to break a carbon-hydrogen single bond. Calculate the maximum wavelength of light for which a carbon-hydrogen single bond could be broken by absorbing a single photon. Round your answer to significant digits.

Answer 1

Answer:

The maximum wavelength of light for which a carbon-hydrogen single bond could be broken by absorbing a single photon = 290 nm

Explanation:

                  So to break a single C - H bond require = $\frac{412}{6.023 X (10)^{23} }$

                           = 6.84 x 10⁻¹⁹ joule

Find the wavelength of a photon we use E = hν

                                                             ⇒    E = $\frac{hc}{Wavelength}$

                   Where h = Planck's constant = 6.626 x 10⁻³⁴ J.K⁻¹.Mole⁻¹

                               c = speed of light = 3 x 10⁸ m/sec

                                                           Wavelength = $\frac{6.626 X 10^{-34} X 3 X 10^{8} }{6.84 X10^{-19} }$

                                                                                 = 2.9 x 10⁻⁷ m

                                                                                 = 290 nm

                                           ∵ 1 nm = 10⁻⁹ m