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Number of tertiary bromide of formula C(...

Number of tertiary bromide of formula `C_(5)H_(11)Br` are `(X)`
number of tertiary bromide of formula `C_(6)H_(13)Br` are `(Y)`
Report your answer as `X + Y`

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The correct Answer is:
To solve the problem, we need to determine the number of tertiary bromides for the given formulas \(C_5H_{11}Br\) and \(C_6H_{13}Br\), and then sum these values. ### Step-by-Step Solution: 1. **Identify Tertiary Bromides for \(C_5H_{11}Br\)**: - A tertiary bromide has a carbon atom bonded to three other carbon atoms. - For the formula \(C_5H_{11}Br\), we can draw the following structure: - **Structure**: \[ \text{(CH}_3\text{)}_3CBr \] This corresponds to 2-bromopentane, where the bromine is attached to a tertiary carbon. - **Count**: There is only **1** unique structure for \(C_5H_{11}Br\). \[ X = 1 \] 2. **Identify Tertiary Bromides for \(C_6H_{13}Br\)**: - For the formula \(C_6H_{13}Br\), we can have several structures: - **Structure 1**: \[ \text{CH}_3\text{CH}_2\text{C(CH}_3\text{)}_2Br \] (2-bromo-3-methylpentane) - **Structure 2**: \[ \text{(CH}_3\text{)}_2\text{CHCH}_2\text{CH}_2Br \] (1-bromo-2-methylpentane) - **Structure 3**: \[ \text{(CH}_3\text{)}_3CCH_2Br \] (2-bromo-2-methylbutane) - **Structure 4**: \[ \text{(CH}_3\text{)}_2\text{C(Br)CH}_2\text{CH}_3 \] (1-bromo-3-methylbutane) - **Count**: There are **3** unique structures for \(C_6H_{13}Br\). \[ Y = 3 \] 3. **Calculate Total**: - Now we sum \(X\) and \(Y\): \[ X + Y = 1 + 3 = 4 \] ### Final Answer: \[ \text{The answer is } 4. \]

To solve the problem, we need to determine the number of tertiary bromides for the given formulas \(C_5H_{11}Br\) and \(C_6H_{13}Br\), and then sum these values. ### Step-by-Step Solution: 1. **Identify Tertiary Bromides for \(C_5H_{11}Br\)**: - A tertiary bromide has a carbon atom bonded to three other carbon atoms. - For the formula \(C_5H_{11}Br\), we can draw the following structure: - **Structure**: ...
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