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When a metal was exposed to photons at a frequency of 1.07 x10^15 s^-1, electrons were emitted with a maximum kinetic energy of 3.70x10^-19 J. Calculate the work function of this metal

When a metal was exposed to photons at a frequency of 1.07 x10^15 s^-1, electrons were emitted with a maximum kinetic energy of 3.70x10^-19 J. Calculate the work function of this metal

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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When a metal was exposed to photons at a frequency of 1.07 x10^15 s^-1, electrons were emitted with a maximum kinetic energy of 3.70x10^-19 J. Calculate the work function of this metal
**Photons and Electron Emission from Metals** **Context:** A metal was exposed to photons at a frequency of \(1.07 \times 10^{15} \, \text{s}^{-1}\), resulting in electrons being emitted with a maximum kinetic energy of \(3.70 \times 10^{-19} \, \text{J}\). **Objective:** 1. **Calculate the Work Function (\(\Phi\)) of the Metal:** - **Equation Used:** \(\Phi = \text{Energy of Photons} - \text{Kinetic Energy of Electrons}\) - **Given Attempt:** \(\Phi = 3.59 \times 10^{-19} \, \text{J/photon}\) - *Note: This value was marked incorrect.* 2. **Determine Maximum Number of Electrons Ejected by a Burst of Photons:** - **Total Energy Available:** \(9.27 \times 10^{-7} \, \text{J}\) - **Number of Electrons Calculated:** - *Note: This value was marked incorrect.* The exercise involves calculations based on the photoelectric effect, using provided and calculated values for understanding the properties of the metal being studied under photon exposure.
Transcribed Image Text:**Photons and Electron Emission from Metals** **Context:** A metal was exposed to photons at a frequency of \(1.07 \times 10^{15} \, \text{s}^{-1}\), resulting in electrons being emitted with a maximum kinetic energy of \(3.70 \times 10^{-19} \, \text{J}\). **Objective:** 1. **Calculate the Work Function (\(\Phi\)) of the Metal:** - **Equation Used:** \(\Phi = \text{Energy of Photons} - \text{Kinetic Energy of Electrons}\) - **Given Attempt:** \(\Phi = 3.59 \times 10^{-19} \, \text{J/photon}\) - *Note: This value was marked incorrect.* 2. **Determine Maximum Number of Electrons Ejected by a Burst of Photons:** - **Total Energy Available:** \(9.27 \times 10^{-7} \, \text{J}\) - **Number of Electrons Calculated:** - *Note: This value was marked incorrect.* The exercise involves calculations based on the photoelectric effect, using provided and calculated values for understanding the properties of the metal being studied under photon exposure.
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