Question:
The energy of one mole of photons of radiation of wavelength \(300\) \(nm\) is (Given \(h\) = \(6.63 × 10^{–34}\)Js, \(N_A\) = \(6.02 × 10^{23}\) \(mol^{–1}\), \(c = 3 × 10^8\) \(ms^{–1}\))
The energy of one mole of photons of radiation of wavelength \(300\) \(nm\) is (Given \(h\) = \(6.63 × 10^{–34}\)Js, \(N_A\) = \(6.02 × 10^{23}\) \(mol^{–1}\), \(c = 3 × 10^8\) \(ms^{–1}\))
Updated On: Mar 21, 2025
- 235 kJ \(mol^{–1}\)
- 325 kJ \(mol^{–1}\)
- 399 kJ \(mol^{–1}\)
- 435 kJ \(mol^{–1}\)
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The Correct Option is C
Solution and Explanation
Wavelength of radiation = \(300\) \(nm\)
Photon energy
= \(\frac{hc}λ\)
= \(\frac{6.63 × 10^{-34} × 3 × 10^8}{300 × 10 ^{-19}}\)
= \(6.63 × 10^{-19}\) \(J\)
Energy of \(1\) mole of photons
= \(6.63 × 10^{-19} × 6.02 × 10^{23} × 10^{-3}\)
= \(399\) \(kJ\)
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Concepts Used:
Radiation
Radiation is the energy or particles from a source that travels from one media to other. It travels through a medium after its emission from a source and is absorbed by matter.
Forms of Radiation:
- Particle Radiation includes the alpha (α), beta (β), and neutron radiations.
- Gravitational Radiation includes the radiation that takes the form of gravitational waves or as ripples in the curvature of space-time.
- Acoustic Radiation includes ultrasound, seismic and sound waves.
- Electromagnetic Radiation is inclusive of radio waves, gamma radiation (γ), x-rays, and visible light.
Types of Radiation:
- Ionizing Radiation - It carries more than 10 eV, that is enough to ionize atoms and molecules and break chemical bonds.
- Non-ionizing Radiation – It consists of alpha particles, beta particles, and gamma particles, whereas ionizing radiation consists of microwave radiation, infrared radiation and radio waves.
Read More: Types of Radiation