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A: Mass of 1 gram molecule of H(2)SO(4) ...

A: Mass of 1 gram molecule of `H_(2)SO_(4)` is 98 gram.
R: One gram atom contains `N_(A)` atoms.

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 both the assertion (A) and the reason (R) given in the statement. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that the mass of 1 gram molecule of \( H_2SO_4 \) is 98 grams. - A "gram molecule" refers to one mole of a substance. Therefore, 1 gram molecule of \( H_2SO_4 \) is equivalent to 1 mole of \( H_2SO_4 \). 2. **Calculating the Molecular Weight**: - The molecular weight of \( H_2SO_4 \) (sulfuric acid) can be calculated as follows: - Hydrogen (H): 2 atoms × 1 g/mol = 2 g/mol - Sulfur (S): 1 atom × 32 g/mol = 32 g/mol - Oxygen (O): 4 atoms × 16 g/mol = 64 g/mol - Total molecular weight = 2 + 32 + 64 = 98 g/mol. 3. **Verification of the Assertion**: - Since the molecular weight of \( H_2SO_4 \) is 98 g/mol, it confirms that the mass of 1 gram molecule (or 1 mole) of \( H_2SO_4 \) is indeed 98 grams. Thus, the assertion is **true**. 4. **Understanding the Reason (R)**: - The reason states that one gram atom contains \( N_A \) atoms, where \( N_A \) is Avogadro's number (approximately \( 6.022 \times 10^{23} \)). - A "gram atom" also refers to one mole of an element. Therefore, one gram atom of any element contains \( N_A \) atoms. 5. **Verification of the Reason**: - Since one mole of any substance contains \( N_A \) entities (atoms, molecules, etc.), the reason is also **true**. 6. **Conclusion**: - Both the assertion and reason are true. However, the reason does not provide a correct explanation for the assertion since the assertion is specifically about the mass of a molecule, while the reason discusses the number of atoms in a mole. ### Final Answer: - The correct option is that both A and R are true, but R is not a correct explanation of A.
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