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How many secondary carbon atoms are there in ${{\left( C{{H}_{3}} \right)}_{2}}CHC{{H}_{2}}CH{{\left( C{{H}_{3}} \right)}_{2}}$?

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Answer
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Hint: A hydrocarbon chain may involve various carbon atoms. These are termed according to the carbon atoms attached adjacent to them. When a carbon has only one carbon atom attached, it is termed as primary carbon atom, while when it has 2 carbon atoms attached to it is called as secondary carbon atom. To recognize them a structural formula has to be drawn.

Complete answer:
A hydrocarbon long chain may have alkyl groups attached at various positions that define the nature of the attached carbon atoms as primary $1{}^\circ $, secondary $2{}^\circ $and tertiary $3{}^\circ $. There are hydrogen atoms attached with these carbon atoms that are also termed in the same way as primary, secondary, and tertiary.
We have been given a compound that has a formula ${{\left( C{{H}_{3}} \right)}_{2}}CHC{{H}_{2}}CH{{\left( C{{H}_{3}} \right)}_{2}}$, we have to identify the secondary carbon atoms. For this let’s see the structural formula and label the carbon atoms as, 1 to 5.
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The secondary carbon atom is the carbon atom that is attached with two other adjacent carbon atoms. So the secondary carbon atom is carbon 3.
Hence, there is only 1 secondary carbon atom present in ${{\left( C{{H}_{3}} \right)}_{2}}CHC{{H}_{2}}CH{{\left( C{{H}_{3}} \right)}_{2}}$.

Note:
The compound is called 2, 4 – dimethyl pentane. In this given compound there are 2 primary carbon atoms that are 1 and 5 carbons that are attached with only one carbon atom. Similarly there are 2 tertiary carbon atoms that are carbon 2 and carbon 4 that have 2 carbon atoms attached to them.