Sodium is a soft metal with a relatively low work function. Light corresponding to 476 kJmol−1 was shone on the sodium metal, and the electrons detected had a velocity of 9.57×105ms−1. What is the work function of sodium metal based on this data? The mass of an electron is 9.11×10−31kg.

Answers

Answer 1

Based on the data given, the work function of sodium metal is equal to [tex]7.91 \times 10^{-19}\;Joules[/tex].

Given the following data:

Mass of an electron = [tex]9.11\times10^{-31}\;kg[/tex].Photo electric work function = 476 kJ/mol.Velocity of electrons = [tex]9.57\times10^{5}\;m/s[/tex]

Avogadro constant = [tex]6.02 \times 10^{23}[/tex]

To determine the work function of sodium metal based on this data:

Mathematically, the photoelectric effect is given  by the formula:

[tex]K.E = hf - BE_i[/tex]

Where:

K.E represents the maximum kinetic energy of the ejected electron.f is photon frequency.h is Planck constant ([tex]6.626 \times 10^{-34}\;J.s[/tex]).[tex]BE_i[/tex] is the work function of the material.

However, since we were given the photo electric work function of light that was shone on the sodium metal, we would calculate the work function of sodium metal as follows:

[tex]\phi = \frac{Photo \;electric\; work \;function}{Avoadro's\;number}[/tex]

[tex]\phi = \frac{476 \times 10^3}{6.02 \times 10^{23}} \\\\\phi = 7.91 \times 10^{-19}\;Joules[/tex]

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Related Questions

Why did the hot water rise? Use faster, molecules, energy, density in your answer.

Answers

Answer:

Convection

Explanation:

Hot water will rise due to heat transfer by convection occurring in the heating system.

When a fluid is heated, the molecules will gain thermal energy. As the thermal energy of the liquid increases, the molecules will have heat which is average kinetic energy in the system. This causes them to be less denser and they rise in the cooking medium. As they rise, the colder part of the water sinks down to replace them in the pot. This exchange sets up convection cells in the heating medium.

A student drew a diagram of the quantum model of an atom, as shown.


A small circle is shown. Six light gray spheres and six dark gray spheres are shown inside the circle. On the outer side of the circle is another circle of larger radius. This circle has two small circle on its boundary. Another circle of even greater radius is on the outside of the second circle. This outermost circle has four small circles on its boundary.


Which of the following explains if the student's diagram is correct or incorrect?


A - The diagram is incorrect because electrons follow an elliptical path instead of a circular path.

B - The diagram is incorrect because the exact location of the electrons cannot be determined.

C - The diagram is correct because protons and neutrons are concentrated at the center of the atom.

D - The diagram is correct because electrons are present in distinct energy levels around the nucleus.

Answers

The diagram is correct because electrons are present in distinct energy levels around the nucleus. Option D

What is the quantum model?

Let nus just take a minute to be able to remind ourselves that when we look at the atom that there are several subatomic particles that can be shown to be able to make up the atom. We know that the electron is the particle that can be shown to be arranged in shells.

What we saw in the inner or the core of the atom is the nucleus and the six grey spheres  that we can see there would have to do with the nucleus of the atom that is in the question.

As we now look up at the shells, we can see the electrons as they have been arranged into the respective shells were they can be found in the atom on the basis of the energy that they possess.

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