Ano organic compound contains 52.17%of carbon, 13% of hydrogen and the rest being oxygen. Given that the relative molecular mass is92. A, it's empirical formula is what?

Physics

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Answer

C2H6O\text{C}_2H_6\text{O}

Step 1: Determine the percentage of oxygen. The sum of percentages of all elements in a compound must be 100%. PercentageofOxygen=100%(PercentageofCarbon+PercentageofHydrogen)Percentage of Oxygen = 100\% - (Percentage of Carbon + Percentage of Hydrogen) PercentageofOxygen=100%(52.17%+13%)Percentage of Oxygen = 100\% - (52.17\% + 13\%) PercentageofOxygen=100%65.17%Percentage of Oxygen = 100\% - 65.17\% PercentageofOxygen=34.83%Percentage of Oxygen = 34.83\%

Step 2: Assume a 100 g sample and convert percentages to masses. In a 100 g sample: Mass of Carbon (C) = 52.17 g Mass of Hydrogen (H) = 13 g Mass of Oxygen (O) = 34.83 g

Step 3: Convert masses to moles using atomic masses. Atomic masses: C = 12.01 g/mol, H = 1.008 g/mol, O = 16.00 g/mol.

Moles of Carbon: MolesofC=52.17g12.01g/mol4.344molMoles of C = \frac{52.17 g}{12.01 g/mol} \approx 4.344 mol

Moles of Hydrogen: MolesofH=13g1.008g/mol12.897molMoles of H = \frac{13 g}{1.008 g/mol} \approx 12.897 mol

Moles of Oxygen: MolesofO=34.83g16.00g/mol2.177molMoles of O = \frac{34.83 g}{16.00 g/mol} \approx 2.177 mol

Step 4: Determine the simplest whole-number ratio by dividing by the smallest number of moles. The smallest number of moles is 2.177 mol (for Oxygen).

Ratio for Carbon: 4.344mol2.177mol1.9952\frac{4.344 mol}{2.177 mol} \approx 1.995 \approx 2

Ratio for Hydrogen: 12.897mol2.177mol5.9246\frac{12.897 mol}{2.177 mol} \approx 5.924 \approx 6

Ratio for Oxygen: 2.177mol2.177mol=1\frac{2.177 mol}{2.177 mol} = 1

The simplest whole-number ratio of C:H:O is 2:6:1.

The empirical formula is C2H6O\boxed{C_2H_6O}.

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Determine the percentage of oxygen. The sum of percentages of all elements in a compound must be 100%.

Ano organic compound contains 52.17%of carbon, 13% of hydrogen and the rest being oxygen. Given that the relative molecular mass is92. A, it's empirical formula is what?
Physics

This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

ScanSolve AI Answer
Step 1: Determine the percentage of oxygen. The sum of percentages of all elements in a compound must be 100%. Percentage of Oxygen = 100\% - (Percentage of Carbon + Percentage of Hydrogen) Percentage of Oxygen = 100\% - (52.17\% + 13\%) Percentage of Oxygen = 100\% - 65.17\% Percentage of Oxygen = 34.83\% Step 2: Assume a 100 g sample and convert percentages to masses. In a 100 g sample: Mass of Carbon (C) = 52.17 g Mass of Hydrogen (H) = 13 g Mass of Oxygen (O) = 34.83 g Step 3: Convert masses to moles using atomic masses. Atomic masses: C = 12.01 g/mol, H = 1.008 g/mol, O = 16.00 g/mol. Moles of Carbon: Moles of C = 52.17 g12.01 g/mol ≈ 4.344 mol Moles of Hydrogen: Moles of H = 13 g1.008 g/mol ≈ 12.897 mol Moles of Oxygen: Moles of O = 34.83 g16.00 g/mol ≈ 2.177 mol Step 4: Determine the simplest whole-number ratio by dividing by the smallest number of moles. The smallest number of moles is 2.177 mol (for Oxygen). Ratio for Carbon: 4.344 mol2.177 mol ≈ 1.995 ≈ 2 Ratio for Hydrogen: 12.897 mol2.177 mol ≈ 5.924 ≈ 6 Ratio for Oxygen: 2.177 mol2.177 mol = 1 The simplest whole-number ratio of C:H:O is 2:6:1. The empirical formula is C_2H_6O.