Question

Sodium lamps emit yellow light with a nominal wavelength of 589 nm. What is the energy of these photons in kilojoules per mole

Answer 1

Based on the wavelength of the light, the energy of the photons emitted by a sodium lamp is 2.03 * 10² kJ/mol.

What is the energy of photons produced by a sodium lamp in Kj/mol?

The energy is given by the formula;

• E = hv

where

• h is Planck's constant = 6.63 * 10⁻³⁴ J.s
• f is frequency of light

Also, f = c/λ

where

• c is velocity of light = 3.0 * 10⁸ m/s
• λ is wavelength of light = 589 nm = 5.89 * 10⁻⁷ m
• 1 mole of sodium atom will emit 6.02 * 10²³ photons,
• N = 6.02 * 10²³ photons,

Thus,

E = Nhc/λ

E = (6.02 * 10²³ * 6.63 * 10⁻³⁴ J.s * 3.0 * 10⁸ m/s)/5.89 * 10⁻⁷ m

E = 2.03 * 10⁵ J/mol

E = 2.03 * 10² kJ/mol

Therefore, the energy of the photons emitted by a sodium lamp is 2.03 * 10² kJ/mol.

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