which pair shares the same empirical formula?

$\text{c}_2\text{h}_4$ and $\text{c}_6\text{h}_6$
$\text{ch}_2$ and $\text{ch}_4$
$\text{ch}_3$ and $\text{c}_2\text{h}_6$
$\text{ch}$ and $\text{c}_2\text{h}_4$

Question

which pair shares the same empirical formula?

$\text{c}_2\text{h}_4$ and $\text{c}_6\text{h}_6$
$\text{ch}_2$ and $\text{ch}_4$
$\text{ch}_3$ and $\text{c}_2\text{h}_6$
$\text{ch}$ and $\text{c}_2\text{h}_4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Empirical Formula" ], "current_concepts": [ "Empirical Formula", "Chemical Formulas" ] } ## Define empirical formula $$ \text{Empirical formula} = \text{simplest whole-number ratio of atoms in a compound} $$ ## Simplify the ratios for each pair $$ \begin{aligned} &\text{Pair 1: } \text{C}_2\text{H}_4 ightarrow \text{CH}_2, \quad \text{C}_6\text{H}_6 ightarrow \text{CH} \ &\text{Pair 2: } \text{CH}_2 ightarrow \text{CH}_2, \quad \text{CH}_4 ightarrow \text{CH}_4 \ &\text{Pair 3: } \text{CH}_3 ightarrow \text{CH}_3, \quad \text{C}_2\text{H}_6 ightarrow \text{CH}_3 \ &\text{Pair 4: } \text{CH} ightarrow \text{CH}, \quad \text{C}_2\text{H}_4 ightarrow \text{CH}_2 \end{aligned} $$ ## Identify the matching pair $$ \text{CH}_3 \text{ and } \text{C}_2\text{H}_6 \text{ both simplify to } \text{CH}_3 $$

(A) $\text{C}_2\text{H}_4$ and $\text{C}_6\text{H}_6$

(B) $\text{CH}_2$ and $\text{CH}_4$

(C) $\text{CH}_3$ and $\text{C}_2\text{H}_6$

(D) $\text{CH}$ and $\text{C}_2\text{H}_4$

{ "subject": "Natural Science", "question_type": "Multiple Choice", "knowledge_point": [ "Natural Science", "Chemistry", "Empirical Formula" ] }

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QUESTION IMAGE

Question

Explanation:

Define empirical formula

Simplify the ratios for each pair

Identify the matching pair

Answer: