Question

What is the percentage composition of carbon (C) in the ester above?

Ask by Hart Summers. in South Africa
Feb 27,2025

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Answer

The percentage composition of carbon (C) in the ester is approximately 54.55%.

Solution

To find the percentage composition of carbon (C) in the ester, we need to know the molecular formula of the ester. Assuming the ester is a simple ester with the general formula R-COOR', where R and R' are alkyl groups, the molecular formula of the ester would be CxHyOz, where x is the number of carbon atoms, y is the number of hydrogen atoms, and z is the number of oxygen atoms. The percentage composition of carbon (C) in the ester can be calculated using the formula: \[ \text{Percentage of C} = \frac{\text{Number of C atoms} \times \text{Atomic mass of C}}{\text{Molecular mass of ester}} \times 100\% \] Let's assume the molecular formula of the ester is C4H8O2. Now, we can calculate the percentage composition of carbon (C) in the ester. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(4\times 12\right)}{\left(4\times 12+8\times 1+2\times 16\right)}\) - step1: Remove the parentheses: \(\frac{4\times 12}{4\times 12+8\times 1+2\times 16}\) - step2: Multiply the numbers: \(\frac{4\times 12}{48+8\times 1+2\times 16}\) - step3: Multiply: \(\frac{4\times 12}{48+8+2\times 16}\) - step4: Multiply the numbers: \(\frac{4\times 12}{48+8+32}\) - step5: Multiply the numbers: \(\frac{48}{48+8+32}\) - step6: Add the numbers: \(\frac{48}{88}\) - step7: Reduce the fraction: \(\frac{6}{11}\) The percentage composition of carbon (C) in the ester is approximately 54.55%.

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To determine the percentage composition of carbon in an ester, you'll first need to know the molecular formula of the ester in question. Once you have the formula, calculate the molar mass of the compound by adding the atomic masses of all the atoms present. For carbon, look at how many carbon atoms are in the formula, multiply that by the atomic mass of carbon (approximately 12.01 g/mol), and then divide by the total molar mass of the ester. Multiply by 100 to get the percentage. For example, if the ester is ethyl acetate (C4H8O2), the calculation will show that carbon makes up a significant portion of the compound due to its multiple molecular contributions! Think of it as diving into a delicious dessert: every ingredient counts, and the carbon atoms are like tasty chocolate chips that enhance the flavor! Just ensure you account for all atoms in your calculations, so your percentage is as sweet as it can be.

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