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The empirical formula of a chemical compound is the simplest positive integer ratio of atoms present in a compound. Therefore, the correct answer from the choices is the last option. C7H14 and C10H20  have the same empirical formula which is CH2. Hope this answers the question.

Answer: The compounds having same empirical formula are \(C_7H_{14}\text{ and }C_{10}H_{20}\)

Explanation:

Empirical formula is defined as the formula in which atoms in a compound are present in simplest whole number ratios. The atoms in the compounds must be same.

For the given options:

  • Option A:  \(NO\text{ and }NO_2\)

Empirical formula of NO = NO

Empirical formula of \(NO_2=NO_2\)

Thus, they do not have the same empirical formula

  • Option B:  \(C_4H_{10}\text{ and }C_{10}H_4\)

Empirical formula of \(C_4H_{10}=C_2H_5\)

Empirical formula of \(C_{10}H_4=C_5H_2\)

Thus, they do not have the same empirical formula

  • Option C:  \(CO_2\text{ and }SO_2\)

Empirical formula of \(CO_2=CO_2\)

Empirical formula of \(SO_2=SO_2\)

Thus, they do not have the same empirical formula

  • Option D:  \(C_6H_{12}\text{ and }C_{6}H_{14}\)

Empirical formula of \(C_6H_{12}=CH_2\)

Empirical formula of \(C_{6}H_{14}=C_3H_7\)

Thus, they do not have the same empirical formula

  • Option E:  \(C_7H_{14}\text{ and }C_{10}H_{20}\)

Empirical formula of \(C_7H_{14}=CH_2\)

Empirical formula of \(C_{10}H_{20}=CH_2\)

Thus, they have the same empirical formula

Hence, the compounds having same empirical formula are \(C_7H_{14}\text{ and }C_{10}H_{20}\)

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