If the atomic mass of carbon is 12.011, that of hydrogen is 1.... | General Science MCQ | Examoogle

General ScienceChemistry

If the atomic mass of carbon is 12.011, that of hydrogen is 1.008 and that of oxygen is 15.999, then calculate the molecular mass of C 2 H 4 O.

40.053

34.053

44.053

16.053

Correct Answer

🔬 SC • Science Concept & PrincipleGeneral ScienceChemistry

Option C

44.053

Quick Summary:

The molecular mass of a compound is calculated by summing the atomic masses of all individual atoms present in its chemical formula. For the compound $C_2H_4O$ , the calculation involves multiplying the atomic mass of each element by its respective subscript and summing the totals.

🔬SCScience SolutionConcept & Principle

💡 Explanation

💡 Everyday Analogy (Real-World Intuition)

Calculating molecular mass is like calculating the total price of a grocery basket where you multiply the quantity of each item by its individual price and add them up.

🔢 Key Formulas

$\text{Molecular Mass} = \sum (\text{Number of Atoms} \times \text{Atomic Mass})$

$\text{Mass of } C_2H_4O = (2 \times 12.011) + (4 \times 1.008) + (15.999)$

⚙️ Working Principle

The total molecular mass is determined by the summation formula: $M = \sum (n_i \times A_i)$ , where $n_i$ represents the number of atoms of element $i$ and $A_i$ represents its atomic mass. For $C_2H_4O$ , we sum $(2 \times 12.011) + (4 \times 1.008) + (1 \times 15.999)$ . This results in $24.022 + 4.032 + 15.999 = 44.053$ .

📌 Key Points

▸
The atomic mass of Carbon is approximately $12.011 \text{ u}$ .
▸
The atomic mass of Hydrogen is approximately $1.008 \text{ u}$ .
▸
The atomic mass of Oxygen is approximately $15.999 \text{ u}$ .
▸
Molecular mass is expressed in Atomic Mass Units (u) or Daltons (Da).

✅ Advantages

▸
Provides a quantitative basis for stoichiometry in chemical reactions.

🛠️ Applications / Uses

▸
Used to calculate the number of moles in a given mass of a substance.
▸
Essential for determining the empirical and molecular formulas of unknown compounds.

📄 Additional Information

▸
The compound $C_2H_4O$ can represent Acetaldehyde or Ethylene oxide, both having the same molecular mass.
▸
Option A, B, and D are incorrect because they result from arithmetic errors in summing the individual components of the molecular formula.

📊 Diagram / Illustration

✅

C is correct — the molecular mass of $C_2H_4O$ is the sum of $2 \times 12.011$ , $4 \times 1.008$ , and $15.999$ , which equals $44.053$ .

Core Concepts Used

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Mole Concept Molecular Mass Atomic Mass

💡 EXAM TIP

Always ensure you account for every subscript in the chemical formula; a common error is forgetting to multiply the mass of Hydrogen by its subscript $4$ .

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