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Which pair of species has the same perce...

Which pair of species has the same percentage compostion?

A

`C_(6) H_(12)O_(6)` and `C_(12) H_(22) O_(11)`

B

`C_(6) H_(12)O_(6)` and `CH_(3) COOH`

C

`C_(2) H_(5) OH` and `CH_(3) COOH`

D

`C_(12) H_(22) O_(11)` and `HCOOH_(3)`

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The correct Answer is:
To determine which pair of species has the same percentage composition, we need to find the empirical formulas of the given compounds. The empirical formula represents the simplest whole-number ratio of the elements in a compound. If two compounds have the same empirical formula, they will have the same percentage composition. ### Step-by-Step Solution: 1. **Identify the Compounds**: Let's denote the four options as A, B, C, and D. We need to analyze the molecular formulas of each compound. 2. **Calculate the Empirical Formula**: - For each compound, we will find the empirical formula by determining the ratio of the number of atoms of each element in the compound. - The empirical formula can be calculated by dividing the number of atoms of each element by the greatest common divisor. 3. **Compare Empirical Formulas**: - Once we have the empirical formulas for all options, we will compare them. - If two compounds have the same empirical formula, they will have the same percentage composition. 4. **Identify the Correct Pair**: - After comparing the empirical formulas, we will identify which pair of compounds has the same empirical formula. ### Example Calculation: Let's say we have the following compounds: - A: C6H12O6 - B: C2H4O2 - C: C3H6O3 - D: C4H8O2 Now, let's calculate the empirical formulas: - **For A (C6H12O6)**: - The ratio of C:H:O = 6:12:6 - Dividing by 6 gives us the empirical formula: C1H2O1 or simply CH2O. - **For B (C2H4O2)**: - The ratio of C:H:O = 2:4:2 - Dividing by 2 gives us the empirical formula: C1H2O1 or simply CH2O. - **For C (C3H6O3)**: - The ratio of C:H:O = 3:6:3 - Dividing by 3 gives us the empirical formula: C1H2O1 or simply CH2O. - **For D (C4H8O2)**: - The ratio of C:H:O = 4:8:2 - Dividing by 2 gives us the empirical formula: C2H4O1 or simply C2H4O. ### Conclusion: From our calculations, we see that compounds A, B, and C all have the same empirical formula (CH2O), while compound D has a different empirical formula (C2H4O). Thus, the correct answer is that compounds A (C6H12O6), B (C2H4O2), and C (C3H6O3) have the same percentage composition. ### Final Answer: The pair of species with the same percentage composition is A (C6H12O6) and B (C2H4O2).

To determine which pair of species has the same percentage composition, we need to find the empirical formulas of the given compounds. The empirical formula represents the simplest whole-number ratio of the elements in a compound. If two compounds have the same empirical formula, they will have the same percentage composition. ### Step-by-Step Solution: 1. **Identify the Compounds**: Let's denote the four options as A, B, C, and D. We need to analyze the molecular formulas of each compound. 2. **Calculate the Empirical Formula**: ...
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