The position for the absorption band for carbonyl stretching vibration (frequency = 5.1 x1013 vibrations /second) is
Question
The position for the absorption band for carbonyl stretching vibration (frequency = 5.1 x 10^13 vibrations / second) is
Solution
The position for the absorption band for carbonyl stretching vibration can be calculated using the formula for the frequency of a wave, which is:
Frequency (ν) = Speed of light (c) / Wavelength (λ)
Given that the frequency is 5.1 x 10^13 vibrations per second, we can rearrange the formula to solve for the wavelength:
Wavelength (λ) = Speed of light (c) / Frequency (ν)
The speed of light is approximately 3.00 x 10^10 cm/s. Plugging the values into the formula, we get:
Wavelength (λ) = (3.00 x 10^10 cm/s) / (5.1 x 10^13 s^-1)
Solving this will give you the position of the absorption band for the carbonyl stretching vibration in cm^-1.
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