Question

A laser with a green light source gives off 1.5 moles of photons every second. how much total energy in kj, dos the laser give off in 3.00 hours? show all work. Colors and their wavelngths (in nm) Violet indigo blue green yellow orange red 400nm 445nm 475nm 510nm 570nm 590nm 750nm

Answer 1

To calculate the total energy in kilojoules (kJ) that the laser gives off in 3.00 hours, we need to calculate the energy per second. We can use the equation E = n * h * f, where E is the energy, n is the number of photons, h is Planck's constant, and f is the frequency. After calculating the energy per second, we can multiply it by the number of seconds in 3.00 hours and convert to kilojoules.

To calculate the total energy in kilojoules (kJ) that the laser gives off in 3.00 hours, we first need to calculate the energy per second. The laser gives off 1.5 moles of photons every second. To calculate the total energy, we can use the equation E = n * h * f, where E is the energy, n is the number of photons, h is Planck's constant (6.63 × 10^-34 J·s), and f is the frequency.

Since the laser has a green light source with a wavelength of 510 nm (or 510 × 10^-9 m), we can calculate the frequency using the equation f = c / λ, where c is the speed of light (3.00 × 10^8 m/s). Now we can calculate the total energy per second by multiplying the number of photons per second by the energy per photon, and then multiply that by 3.00 hours and convert to kilojoules.

Let's calculate it step by step:

1. Calculate the frequency of the green light using f = c / λ.
2. Calculate the energy per photon using E = n * h * f.
3. Multiply the energy per photon by the number of photons per second to get the total energy per second.
4. Multiply the total energy per second by the number of seconds in 3.00 hours (3.00 * 60 * 60) to get the total energy.
5. Convert the total energy to kilojoules by dividing by 1000.

After following these steps, you will have the total energy in kilojoules that the laser gives off in 3.00 hours.