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Alkanamines have the general formula -...

Alkanamines have the general formula -

A

`C_(n)H_(2n-1)N`

B

`C_(n)H_(2n+3)N`

C

`C_(n)H_(2n+1)N`

D

`C_(n)H_(2n-3)N`

Text Solution

AI Generated Solution

The correct Answer is:
To determine the general formula for alkanamines, we can follow these steps: ### Step 1: Understand the Components Alkanamines are derived from alkanes by replacing one hydrogen atom with an amine group (NH2). ### Step 2: Write the General Formula for Alkanes The general formula for alkanes is given by: \[ C_nH_{2n+2} \] where \( n \) is the number of carbon atoms. ### Step 3: Replace One Hydrogen with the Amine Group When we replace one hydrogen atom in the alkane with the amine group (NH2), we need to adjust the formula: - Start with the alkane formula: \( C_nH_{2n+2} \) - Remove one hydrogen (H) and add the amine group (NH2): \[ C_nH_{2n+2} - H + NH_2 \] This simplifies to: \[ C_nH_{2n+1}NH_2 \] ### Step 4: Combine the Hydrogen Atoms Now, we can combine the hydrogen atoms: - The formula now has \( 2n + 1 \) hydrogen atoms from the alkane and 2 from the amine group: \[ H_{2n+1} + H_2 = H_{2n+3} \] ### Step 5: Write the Final General Formula Thus, the general formula for alkanamines becomes: \[ C_nH_{2n+3} \] ### Conclusion The general formula for alkanamines is: \[ C_nH_{2n+3} \]
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