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Question

What is the general formula of alkenes?

The correct answer is

$C_n H_2n$

To determine the general formula for alkenes, we need to understand the structure of these hydrocarbons. Alkenes are hydrocarbons that contain at least one carbon-carbon double bond. Because of this double bond, the hydrogen content is less than that of alkanes. The general formula for alkenes is expressed as C_nH_{2n}.

Here's how we can derive this:

  1. Consider the simplest alkene, ethylene (also known as ethene), which has the formula C_2H_4. It fits the general formula since n = 2, leading to C_2H_{2 \times 2} = C_2H_4.
  2. Now consider increasing the number of carbon atoms. For propylene (propene), n = 3, which leads to C_3H_{2 \times 3} = C_3H_6.
  3. The pattern holds for any alkene since the double bond reduces the number of hydrogen atoms compared to alkanes, which have the formula C_nH_{2n+2}.

Therefore, the correct answer is C_nH_{2n}. This formula accounts for the double bond that reduces the number of hydrogen atoms in alkenes by 2 compared to their saturated counterparts (alkanes).

Let's rule out the other options:

  • C_nH_n: This formula would not satisfy hydrocarbons with a double bond.
  • C_nH_{2n+2}: This is the general formula for alkanes, not alkenes.
  • C_nH_{2n-2}: This formula fits alkynes, which contain a triple bond, not alkenes.

This logical examination ensures that C_nH_{2n} is the definitive formula for alkenes.

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