Question:

Choose the correct relationship: molar mass - common name - chemical formula from the following options.

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To solve such problems, calculate the molar mass of the chemical formula provided and compare it with the given molar mass. Ensure that the common name and chemical formula correspond correctly.
  • $ 22.5 $-Ethyne-$ \text{C}_2\text{H}_2 $
  • $ 292.5 $-Sulphur molecule-$ \text{S}_8 $
  • $ 36.5 $-Hydrochloric acid-$ \text{HCl} $
  • $ 65.5 $-Nitric acid-$ \text{HNO}_3 $
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The Correct Option is C

Solution and Explanation

Step 1: Analyze Each Option.
Let's evaluate each option by calculating or verifying the molar mass, common name, and chemical formula: 1. Option (1): $22.5$ — Ethyne — $ \text{C}_2\text{H}_2 $
Ethyne (acetylene) has the chemical formula $ \text{C}_2\text{H}_2 $.
Molar mass: \[ (2 \times 12.01) + (2 \times 1.01) = 24.02 + 2.02 = 26.04 \, \text{g/mol} \] Given: $22.5$, which is incorrect. 2. Option (2): $292.5$ — Sulphur molecule — $ \text{S}_8 $
Molar mass: \[ 8 \times 32.07 = 256.56 \, \text{g/mol} \] Given: $292.5$, which is incorrect. 3. Option (3): $36.5$ — Hydrochloric acid — $ \text{HCl} $
Molar mass: \[ 1.01 + 35.45 = 36.46 \, \text{g/mol} \] Given: $36.5$, which is correct. 4. Option (4): $65.5$ — Nitric acid — $ \text{HNO}_3 $
Molar mass: \[ 1.01 + 14.01 + (3 \times 16.00) = 1.01 + 14.01 + 48.00 = 63.02 \, \text{g/mol} \] Given: $65.5$, which is incorrect. Step 2: Final Answer. \[ \boxed{(3) \quad 36.5 \text{-Hydrochloric acid-} \text{HCl}} \]
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