A photochemical reaction was carried out using a monochromatic nm) of ...
Photochemical Reaction and Quantum EfficiencyIntroduction
Photochemical reactions are chemical reactions that are initiated by the absorption of light. These reactions occur when molecules absorb photons of specific energy, promoting them to an excited state where they can undergo chemical transformations. The efficiency of a photochemical reaction is often characterized by the quantum efficiency, which measures the ratio of the number of molecules undergoing the desired reaction to the number of absorbed photons.
Given Information
- Monochromatic light of intensity 100 W was used for the photochemical reaction.
- The reaction was carried out for 30 minutes.
- The reactant was completely decomposed.
- The quantum efficiency is assumed to be 50%.
Calculating Quantum Efficiency
The quantum efficiency (Φ) can be calculated using the following formula:
Φ = (Number of molecules undergoing the desired reaction) / (Number of absorbed photons)
To calculate the number of absorbed photons, we need to know the energy of the photons and the duration of the reaction.
Calculating Number of Absorbed Photons
The energy of a photon can be calculated using the equation:
E = (hc) / λ
Where:
- E is the energy of the photon
- h is the Planck's constant (6.626 x 10^-34 J.s)
- c is the speed of light (3.0 x 10^8 m/s)
- λ is the wavelength of light in meters
Since the wavelength of the monochromatic light is not provided in the given information, we are unable to calculate the number of absorbed photons accurately.
Quantum Efficiency Calculation
With the given information, we are unable to calculate the quantum efficiency accurately. However, we can make an estimation assuming a 50% quantum efficiency.
If the quantum efficiency is close to 1, it means that almost all the absorbed photons are being utilized for the desired reaction. A quantum efficiency of 0.617, 0.718, 0.817, or 0.918 would indicate that a significant fraction of the absorbed photons are being utilized for the reaction.
Considering the assumption of 50% quantum efficiency, we can estimate that approximately half of the absorbed photons are contributing to the reaction. Therefore, the quantum efficiency would be close to 0.5.
ConclusionBased on the given information and the assumption of 50% quantum efficiency, the quantum efficiency for the photochemical reaction is estimated to be close to 0.5. However, without knowing the wavelength of the monochromatic light, an accurate calculation of the quantum efficiency is not possible.