The fluorescent lamp emits 1.64 Joules of energy.
The energy can be calculated using the formula -
E = Planck's constant × speed of light ÷ wavelength
The value of Planck's constant is 6.6×[tex] {10}^{ - 34} [/tex] J/s. Speed of light is 3×10⁸ m/s. Wavelength = 508×[tex] {10}^{ - 9} [/tex] meters
Keep the values in formula -
Energy = (6.6×[tex] {10}^{ - 34} [/tex] × 3×10⁸) ÷ 508×[tex] {10}^{ - 9} [/tex]
Energy = 3.9×[tex] {10}^{ - 19} [/tex] Joules
Number of moles = mass ÷ molar mass
Number of moles = 0.0014 ÷ 200.6
Performing division
Number of moles = 7×[tex] {10}^{ - 6} [/tex]
Number of atoms = number of moles × Avogadro's number
Number of atoms = 7×[tex] {10}^{ - 6} [/tex] × 6.022×10²³
Performing multiplication
Number of atoms = 4.2×10¹⁸
Total energy emitted = 4.2×10¹⁸×3.9×[tex] {10}^{ - 19} [/tex]
Performing multiplication
Total energy emitted = 1.64 Joules
Therefore, energy emitted is 1.64 Joules.
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