Problem: How much energy is contained in 1 mol of each of the following?1. X-ray photons with a wavelength of 0.135 nm. Express the energy numerically in kilojoules per mole.2. γ-ray photons with a wavelength of 2.75 x 10-5 nm. Express the energy numerically in kilojoules per mole

FREE Expert Solution

Balanced reaction: 2 HCl + Ba(OH)2 → BaCl2 + 2 H2O

E=hv (1)

where:

h = Planck’s constant (6.626 × 10–34 J • s)
v = frequency (in s–1)


λ=cv (2)


where:

c = speed of light (3.0 × 108 m/s)


E=hcλ (3)



1. X-ray photons with a wavelength of 0.135 nm

λ=0.135 nm×10-9 m1 nm

λ = 1.35 × 10–10 m


E=hcλ 

E=(6.626×10-34 J·s)(3.0×108 ms)1.35×10-10 mE=1.472×10-15 J×1 kJ103 J

E = 1.472 × 10–18 kJ/photon

1 mol photon = 6.022x1023 photons

E=1.472×10-18 kJphoton×6.022×1023 photons1 mol photon

E = 8.87 × 105 kJ/mole


2. γ-ray photons with a wavelength of 2.75 x 10-5 nm.

View Complete Written Solution
Problem Details

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

1. X-ray photons with a wavelength of 0.135 nm. Express the energy numerically in kilojoules per mole.

2. γ-ray photons with a wavelength of 2.75 x 10-5 nm. Express the energy numerically in kilojoules per mole

Frequently Asked Questions

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 The Particle Nature of Light concept. You can view video lessons to learn The Particle Nature of Light. Or if you need more The Particle Nature of Light practice, you can also practice The Particle Nature of Light practice problems.