In: Chemistry
Calculate the energy (in joules) of
(a)a photon with a wavelength of 5.00 × 104 nm (infrared region) and
(b)a photon with a wavelength of 52 nm (ultraviolet region).
(c)Calculate the kinetic energy of an electron ejected by the photon in part (b) from a metal with a binding energy of 3.7 eV.
Strategy- In parts (a) and (b), we are given
the wavelength of light. Use Equation 3.3 (c = λv) to
convert wavelength to frequency, then use Equation 3.4 (E = hv) to
determine the energy of the
photon for each wavelength. In part (c), we are asked to determine
the kinetic energy of an ejected
electron. For this we use Equation 3.5 (hv = KE + W). The binding
energy, given in electron volts,
must be converted to joules in order for units to cancel.
Setup- The wavelengths must be converted from
nanometers to meters: