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.

Based on the data given, the work function of sodium metal is equal to .

Given the following data:

Avogadro constant =

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

Mathematically, the photoelectric effect is given  by the formula:

Where:

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:

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7.93 * 10^-19 J

Explanation:

Kinetic energy of the electrons = 1/2 mv^2

Hence;

KE = 1/2 * 9.11×10^−31 (9.57×10^5)^2

KE = 4.975 * 10^-23 J

Energy of incident light = 476 * 10^3/6 * 10^23 = 79.3 * 10^-20 J

From Einstein's photoelectric equation;

KE = E - W

Where;

KE = kinetic energy of ejected electron

E = energy of incident photon

W = Work function of the metal

Hence;

W = E - KE

W = 7.93 * 10^-19 - 4.975 * 10^-23

W = 7.93 * 10^-19 J

when the volume of gas is   changed from   717.73 ml   to 852 ml   the temperature will   change   from 315   c to 452   c

    calculation

this is calculated using the charles law formula

that is,   v1/t1 = v2/t2

          v1=?

        t1 = 315 c   into   kelvin = 315 +273 = 588 k

        v2 = 852   ml

        t2 = 425c + 273 =698 k

make v1   the subject of the formula ( by   multiplying both side by t1)

  v1=( v2 xt1) / t2

v1= (852 ml   x 588 k)/ 698 k= 717.73 ml