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Heating 2.40 g of the oxide of metal X (molar mass of X=55.9g/mol) in carbon mon

ID: 685469 • Letter: H

Question

Heating 2.40 g of the oxide of metal X (molar mass of X=55.9g/mol) in carbon monoxide yields the pure metal and carbondioxide. the mass of the mtal product is 1.68g. From the datagiven, show that the simplest formula of the oxide isX2O3. I was only able to find the moles of X and I got stuck afterthat. I'm not sure how to find XyOz toprove the simples formula is X2O3 Heating 2.40 g of the oxide of metal X (molar mass of X=55.9g/mol) in carbon monoxide yields the pure metal and carbondioxide. the mass of the mtal product is 1.68g. From the datagiven, show that the simplest formula of the oxide isX2O3. I was only able to find the moles of X and I got stuck afterthat. I'm not sure how to find XyOz toprove the simples formula is X2O3

Explanation / Answer

From the given information, The number of moles of product 'X' formed = 1.68 g /55.9 g/mol                                                                   = 0.03 moles Since the number of moles of the X in product = numberof moles X of the reactant The same number of moles of X in the reactant also 0.03moles Therefore mass of O in the reactant = 2.40 g -1.68 g                                                        =0.72 g Threrefore number of moles of the reactant = 0.72 g/16.0g/mol                                                                  = 0.045 mol Therefore empirical formula of the compound iscalculated as follows.                                            X                                           O                                          0.03                                        0.045                                         0.03/0.045                             0.045/0.045                                            0.66                                        1   By multyiplying with factor 3 we get the -                                              2                                           3         Therefore simplestformula of the compound = X2O3.
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