9. Quantum Mechanics

Calculate the energy of a photon of electromagnetic radiation at each of the following frequencies.

What is the longest wavelength of radiation that possesses the necessary energy to break the bond?

Calculate the energy of a photon of electromagnetic radiation at each of the following wavelengths.

How much energy is contained in 1 mol of each of the following?

What is the wavelength in nanometers of a photon with an energy of 4.5 x 10^-15 J?

A laser pulse with a wavelength of 535 nm contains 4.85 mJ of energy. How many photons are in the laser pulse?

A photon of light emitted by a heated atom has an energy of 3.285 x 10^-19 J. What is the frequency of this photon in Hz?

An electron in a hydrogen atom relaxes to the n = 4 level, emitting light at 138 THz. What is the initial energy level of the electron before relaxation?

Assuming that radiation with λ = 15.0 cm is used, that all the energy is converted to heat, and that 4.184 J is needed to raise the temperature of 1.00 g of water by 1.00 °C, how many photons are necessary to raise the temperature of 250 g of water by 1.00 °C?

Assuming that radiation with λ=15.0 cm is used, and that all the energy is converted to heat, with 4.184 J needed to raise the temperature of 1.00 g of water by 1.00 °C, how many photons are necessary to raise the temperature of a 300 g sample of water by 1.00 °C?

Assuming that radiation with λ = 15.0 cm is used, that all the energy is converted to heat, and that 4.184 J is needed to raise the temperature of 1.00 g of water by 1.00 °C, how many photons are necessary to raise the temperature of a 350 g sample of water by 1.00 °C?

What is the energy in joules associated with a mole of photons that have a wavelength of 325 nm?

Calculate the energy of the green light emitted, per photon, by a mercury lamp with a frequency of 5.49 × 10^14 Hz. Use Planck's constant (h = 6.626 × 10^-34 J·s).

Calculate the energy of the red light emitted by a neon atom with a wavelength of 680 nm. Use the formula E = hc/λ, where h is Planck's constant (6.626 x 10^-34 J·s) and c is the speed of light (3.00 x 10^8 m/s).