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Assertion: Both 12 g. of carbon and 27 g...

Assertion: Both `12 g`. of carbon and `27 g`. of aluminium will have `6.02xx10^(23)` atoms.
Reason: Gram atomic mass of an element contains Avogadro's number of atoms.

A

Statement-I is true, Statement-II is true , Statement-II is correct explanation for Statement-I

B

Statement-I is true, Statement-II is true , Statement-II is `NOT` a correct explanation for statement-I

C

Statement-I is true, Statement-II is false

D

Statement-I is false, Statement-II is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that both 12 g of carbon and 27 g of aluminum will have \(6.02 \times 10^{23}\) atoms. - **Carbon (C)** has an atomic mass of approximately 12 g/mol. Therefore, 12 g of carbon corresponds to 1 mole of carbon, which contains \(6.02 \times 10^{23}\) atoms. - **Aluminum (Al)** has an atomic mass of approximately 27 g/mol. Therefore, 27 g of aluminum corresponds to 1 mole of aluminum, which also contains \(6.02 \times 10^{23}\) atoms. ### Step 2: Understand the Reason The reason states that the gram atomic mass of an element contains Avogadro's number of atoms. - The gram atomic mass (or molar mass) of an element is defined as the mass of one mole of that element in grams. According to Avogadro's law, one mole of any substance contains \(6.02 \times 10^{23}\) entities (atoms, molecules, etc.). ### Step 3: Conclusion Both the assertion and the reason are correct. The assertion correctly states that both 12 g of carbon and 27 g of aluminum contain \(6.02 \times 10^{23}\) atoms, and the reason correctly explains that this is due to the definition of molar mass. ### Final Answer Both the assertion and the reason are correct, and the reason is the correct explanation of the assertion.
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