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A : Ratio of empirical formula mass and ...

A : Ratio of empirical formula mass and molecular formula mass must be a natural number.
R: `"Molecular formula mass" = nX, X is "empirical formula mass", where n is the simplest whole number.

A

If both Assertion & Reason are true and the reason is the correct explanation of the assertion

B

If both Assertion & Reason are true but the reason is not the correct explanation of the assertion

C

If Assertion is true statement but Reason is false

D

If both Assertion and Reason are false statements

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion (A) and the reason (R) given: **Assertion (A):** The ratio of empirical formula mass and molecular formula mass must be a natural number. **Reason (R):** "Molecular formula mass" = nX, where X is "empirical formula mass" and n is the simplest whole number. ### Step-by-Step Solution: 1. **Understanding Empirical and Molecular Formula:** - The empirical formula represents the simplest whole number ratio of the elements in a compound. - The molecular formula represents the actual number of atoms of each element in a molecule of the compound. 2. **Defining the Masses:** - Let the empirical formula mass be denoted as \( X \). - The molecular formula mass can be expressed as \( n \times X \), where \( n \) is a whole number that indicates how many times the empirical formula fits into the molecular formula. 3. **Finding the Ratio:** - The ratio of molecular formula mass to empirical formula mass can be expressed as: \[ \text{Ratio} = \frac{\text{Molecular Formula Mass}}{\text{Empirical Formula Mass}} = \frac{nX}{X} = n \] - Here, \( n \) is a whole number (it can be a natural number as well). 4. **Conclusion on the Assertion:** - Since \( n \) is a whole number, the ratio of empirical formula mass to molecular formula mass is indeed a natural number (provided \( n \) is greater than or equal to 1). - Thus, the assertion (A) is true. 5. **Analyzing the Reason:** - The reason states that the molecular formula mass is equal to \( n \times X \), which is correct. - However, the reason uses the term "simplest whole number" which may not directly explain why the ratio must be a natural number. 6. **Final Evaluation:** - Both the assertion and the reason are true statements. - However, the reason does not correctly explain the assertion since it introduces the concept of "simplest whole number" instead of directly addressing the natural number aspect. ### Conclusion: - The correct answer is that both the assertion and reason are true, but the reason is not the correct explanation of the assertion.
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