Problem: The energy required to dislodge electrons from sodium metal via the photoelectric effect is 275 kJ/mol . What wavelength (in nm) of light has sufficient energy per photon to dislodge an electron from the surface of sodium?

🤓 Based on our data, we think this question is relevant for Professor Sullivan's class at CALGARY.

FREE Expert Solution

E=hν

In the equation, the frequency of the light is used but we need wavelength. We can relate frequency and wavelength using the speed of light:

c=λ·νcλ=λ·νλν=cλ

 c = speed of light = 3.0x108 m/s
▪ λ = wavelength, m


Substitute in the energy equation:

E=hcλEλ=hcλλEλE=hcEλ=hcEλ=6.626×10-34 J·s3.0×108 ms275 kJmol(103 J1 kJ)(1 mol6.022×1023 photons)

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Problem Details

The energy required to dislodge electrons from sodium metal via the photoelectric effect is 275 kJ/mol . What wavelength (in nm) of light has sufficient energy per photon to dislodge an electron from the surface of sodium?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Photoelectric Effect concept. You can view video lessons to learn Photoelectric Effect. Or if you need more Photoelectric Effect practice, you can also practice Photoelectric Effect practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Sullivan's class at CALGARY.