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The C-H stretching frequency of an alkane is 2900 cm-1. Calculate the value of C-D frequency (cm-1):
- a)2889
- b)2340
- c)2653
- d)2056
Correct answer is option 'D'. Can you explain this answer?
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The C-H stretching frequency of an alkane is 2900 cm-1. Calculate the ...
Calculation of C-D frequency in Alkane
Given data:
C-H stretching frequency of an alkane = 2900 cm-1
To calculate:
C-D frequency (cm-1)
Solution:
The C-H stretching frequency of an alkane is given as 2900 cm-1. We need to calculate the C-D frequency.
The C-H bond is stronger than the C-D bond because the C-H bond contains a lighter isotope of hydrogen than the C-D bond. Therefore, the C-H bond requires more energy to vibrate than the C-D bond, resulting in a higher stretching frequency.
The ratio of C-H to C-D stretching frequencies is approximately 3:1. Therefore, we can calculate the C-D frequency as follows:
C-D frequency = (C-H frequency)/3
C-D frequency = 2900/3
C-D frequency = 966.67 cm-1
Round off the answer to the nearest whole number, we get:
C-D frequency = 967 cm-1
Therefore, option D (2056 cm-1) is incorrect. The correct answer is option A (2889 cm-1) which is the closest whole number to our calculated value of 967 cm-1.
Given data:
C-H stretching frequency of an alkane = 2900 cm-1
To calculate:
C-D frequency (cm-1)
Solution:
The C-H stretching frequency of an alkane is given as 2900 cm-1. We need to calculate the C-D frequency.
The C-H bond is stronger than the C-D bond because the C-H bond contains a lighter isotope of hydrogen than the C-D bond. Therefore, the C-H bond requires more energy to vibrate than the C-D bond, resulting in a higher stretching frequency.
The ratio of C-H to C-D stretching frequencies is approximately 3:1. Therefore, we can calculate the C-D frequency as follows:
C-D frequency = (C-H frequency)/3
C-D frequency = 2900/3
C-D frequency = 966.67 cm-1
Round off the answer to the nearest whole number, we get:
C-D frequency = 967 cm-1
Therefore, option D (2056 cm-1) is incorrect. The correct answer is option A (2889 cm-1) which is the closest whole number to our calculated value of 967 cm-1.
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