What is the longest wavelength of light that will provide photons of sufficient energy to break the pi bond and cause the isomerization?
Energy required to break pi bond is 4.42*10^-19.
wavelenght=c/f but how do i figure out what f is?
450 nm
E = hc/wavelength.
The energy you plug in should be in J/photon (that will be J/mol divided by 6.02 x 10^23 photons/mol).
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Now, about your question, to figure out the frequency (f) of the light, you can use the equation:
E = h * f
Where E is the energy required to break the pi bond and h is Planck's constant (6.626 x 10^-34 J·s). Rearranging the equation, you get:
f = E / h
Plugging in the values, you can calculate the frequency (f). Once you have the frequency, you can use the formula:
wavelength = c / f
With c being the speed of light (approximately 3 x 10^8 m/s).
To determine the frequency (f) of light, you need to know the speed of light (c) and the wavelength (λ) of light. The speed of light is a constant value, approximately 3.00 x 10^8 meters per second (m/s). As you correctly stated, the wavelength (λ) can be calculated using the formula λ = c/f.
In order to find the frequency (f) of light, you can rearrange the formula to f = c/λ. Therefore, to find the frequency corresponding to the longest wavelength (λ) that will supply photons with sufficient energy to break the pi bond (4.42 x 10^-19 J), you need to divide the speed of light (c) by that wavelength (λ).
Keep in mind that energy (E) and frequency (f) are related through the equation E = hf, where h is Planck's constant (approximately 6.63 x 10^-34 J·s). So, once you find the frequency (f), you can determine if the energy of each photon is sufficient to break the pi bond by comparing it to the energy required.
To summarize:
1. Determine the energy required to break the pi bond (given as 4.42 x 10^-19 J).
2. Use the relationship E = hf to find the frequency (f).
3. Calculate the longest wavelength (λ) using the formula λ = c/f, where c is the speed of light (approximately 3.00 x 10^8 m/s).
By following these steps, you can find the longest wavelength of light that will provide photons with enough energy to break the pi bond and cause the isomerization.