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Ascorbic acid (vitamin C) contains C, H, and O. In one combustion analysis, 5.24 g of ascorbic acid yields 7.86 g CO2 and 2.14 g H2O. Calculate the empirical formula and molecular formula of ascorbic acid given that its molar mass is about 176 g/mol. Add subscripts to complete the formulas.

Respuesta :

Answer:

The answer to your question is:

Empirical formula: C₁ H₁.₃O₁  

Molecular formula:   C₆H₈O₆

Explanation:

Ascorbic acid (C, H, and O)

5.24 g of ascorbic acid

7.86 g of CO2

2.14 g of H2O

Empirical formula = ?

Molecular formula = ?

Molecular mass = 176 g/mol

MW CO2 = 44 g

MW H2O = 18 g

                              44 g of CO2 ------------------  12 g of C

                             7.86 g of CO2 ---------------   x

                              x = (7.86 x 12) / 44

                              x = 2.14 g of Carbon

                             18 g of water -----------------  2 g of H

                             2.14 g of water --------------   x

                             x = (2.14 x 2) / 18

                             x = 0.24 g of H

Mass of Oxygen = 5.24 - 2.14 - 0.24

Mass of Oxygen = 2.86 g of Oxygen

Moles

                         12 g of C  -------------1  mol

                         2.14 g     --------------   x

                         x = 2.14 / 12

                         x = 0.18 moles of Carbon

                        1 g of H --------------- 1 mol

                        0.24 g -----------------  x

                        x = 0.24 / 1

                        x = 0.24 moles of H

                        16 g of O ------------- 1 mol

                        2.86 g     -------------  x

                        x = 2.86/ 16

                        x = 0.18 moles of oxygen

Divide by the lowest number of moles

Carbon = 0.18/ 0.18  = 1

Hydrogen = 0.24/0.18 = 1.3

Oxygen = 0.18/0.18 = 1

Oxygen = 0.18 / 0.18

                                       C₁ H₁.₃O₁                                          

Molecular formula

C = 12; H = 1.3 ; O = 16     MW = 29.6

Molar mass/ MW                 176/ 29.6  = 6

                                      C₆H₈O₆

                                         

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