CHEM 11 &18 ALL 20 2 Hydrogen atoms in a lamp emit violet light when they relax

Question

CHEM 11 &18 ALL 20 2 Hydrogen atoms in a lamp emit violet light when they relax from their n- 6 quantum state to their n- 2 quantum state. Calculate the w in nanometers for this light nm 3. Slow moving electrons are often used to measure the spacing of atoms at the surface of a crystalline lattice by diffraction. The de Broglie wavelength of the electrons is adjusted for different samples by controlling their speed. Calculate the wavelength, in nanometers, for electrons having a speed of 6.13 x 10° meters per second. In lab, a student did a spectrophotometry experiment using a blue dye solution whose concentration was 425 x 10° mol/L. The cell path length was 1.00 cm·The spectrometer was set to a wavelength of 628 nm where this dye has a molar absorptivity coefficient of 1.89 x 10 (mol·cm). Calculate the percent transmittance (%T).

Explanation / Answer

2)

Here photon will be emitted

1/wavelength = R* (1/nf^2 - 1/ni^2)

R is Rydberg constant. R = 1.097*10^7

1/wavelength = R* (1/nf^2 - 1/ni^2)

1/wavelength = 1.097*10^7* (1/2^2 - 1/6^2)

wavelength = 4.102*10^-7 m

wavelength = 410 nm

Answer: 410 nm

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