Question

In: Chemistry

Calculate the energy (in joules) of (a)a photon with a wavelength of 5.00 × 104 nm...

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.

Solutions

Expert Solution

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:


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