Question

A green laser pointer has a wavelength of 532 nm. what is the energy of one mol of photons generated from this device?

Answer 1

The energy of one mole of photons generated from a green laser pointer with a wavelength of 532 nm is approximately 3.725 × 10^19 J/mol.

Step-by-step explanation:

To find the energy of one mole of photons generated from a green laser pointer with a wavelength of 532 nm, we can use the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (2.998 × 10^8 m/s), and λ is the wavelength in meters.

First, we need to convert the wavelength from nanometers to meters. There are 10^9 nm in a meter, so the wavelength in meters is 532 nm × (1 m/10^9 nm) = 5.32 × 10^-7 m.

Now we can substitute the values into the formula: E = (6.626 × 10^-34 J·s) × (2.998 × 10^8 m/s)/(5.32 × 10^-7 m). After performing the calculation, the energy of one mole of photons from the green laser pointer is approximately 3.725 × 10^19 J/mol.

Answer 2

We have energy E = hc/λ, where h is Planck's constant c is speed of light and λ is the wavelength.

So Energy ,
`E=(6.63*10^(-34)*3*10^8)/(532*10^(-9)) =3.73*10^(-19)J`

Energy of one mol =
`3.73*10^(-19)*6.023*10^(23)=225 kJ/mol`

Energy of one mol of photons generated from this device = 225 kJ