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The percentage of Carbon in CO(2) is...

The percentage of Carbon in `CO_(2)` is

A

`27.27%`

B

`29.27%`

C

`30.27%`

D

`26.97%`

Text Solution

AI Generated Solution

The correct Answer is:
To calculate the percentage of carbon in carbon dioxide (CO₂), we will follow these steps: ### Step 1: Identify the molecular formula of CO₂ The molecular formula of carbon dioxide is CO₂, which consists of one carbon atom and two oxygen atoms. ### Step 2: Determine the atomic masses - The atomic mass of carbon (C) is approximately 12 g/mol. - The atomic mass of oxygen (O) is approximately 16 g/mol. ### Step 3: Calculate the total mass of CO₂ To find the total mass of CO₂, we need to sum the masses of its constituent atoms: - Mass of 1 carbon atom = 12 g/mol - Mass of 2 oxygen atoms = 2 × 16 g/mol = 32 g/mol Total mass of CO₂ = Mass of carbon + Mass of oxygen Total mass of CO₂ = 12 g/mol + 32 g/mol = 44 g/mol ### Step 4: Calculate the percentage of carbon in CO₂ The percentage of carbon in CO₂ can be calculated using the formula: \[ \text{Percentage of Carbon} = \left( \frac{\text{Mass of Carbon}}{\text{Total Mass of CO₂}} \right) \times 100 \] Substituting the values we have: \[ \text{Percentage of Carbon} = \left( \frac{12 \, \text{g/mol}}{44 \, \text{g/mol}} \right) \times 100 \] ### Step 5: Perform the calculation Calculating the fraction: \[ \frac{12}{44} = 0.2727 \] Now, multiplying by 100 to get the percentage: \[ 0.2727 \times 100 = 27.27\% \] ### Final Answer The percentage of carbon in CO₂ is **27.27%**. ---

To calculate the percentage of carbon in carbon dioxide (CO₂), we will follow these steps: ### Step 1: Identify the molecular formula of CO₂ The molecular formula of carbon dioxide is CO₂, which consists of one carbon atom and two oxygen atoms. ### Step 2: Determine the atomic masses - The atomic mass of carbon (C) is approximately 12 g/mol. - The atomic mass of oxygen (O) is approximately 16 g/mol. ...
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Knowledge Check

  • Assertion : Percentage of carbon in Na_2CO_3 is 11.32%. Reason: % of carbon =("Mass of carbon element")/("Molecular mass of" Na_(2)CO_(3)) xx 100

    A
    If both assertion and reason are true and reason is the correct explanation of assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of assertion.
    C
    If assertion is true but reason is false.
    D
    If both assertion and reason are false.
  • The percentage of carbon in cast iron is

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    B
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    `2.5-4.5`
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    `0.12-0.2`
  • The percentage of carbon in cost iron is :

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    0.01 to 0.25
    B
    0.5 to 1.5
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