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yuradex [85]
3 years ago
6

Sodium is a soft metal with a relatively low work function. Light corresponding to 476 kJmol−1 was shone on the sodium metal, an

d 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.
Chemistry
1 answer:
azamat3 years ago
4 0

Answer:

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

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