5.76 g of [tex]O_2[/tex] are consumed when [tex]C_6H_1_2[/tex] is burned to yield 5.3 grams of [tex]CO_2[/tex].
A mole is defined as 6.02214076 × [tex]10^{23}[/tex] of some chemical unit, be it atoms, molecules, ions, or others.
Calculating moles of [tex]CO_2[/tex]
Number of mole of [tex]CO_2[/tex] = [tex]\frac{\;Given \;mass}{\;Molar \;mass}[/tex]
[tex]\frac{\;Given \;mass}{\;Molar \;mass}[/tex] = [tex]\frac{5.3g}{44 g/mol}[/tex] = 0.12 mol
As is clear from the reaction stoichiometry, 9 moles of [tex]O_2[/tex]6 moles of [tex]CO_2[/tex].
Calculating the number of moles of [tex]CO_2[/tex]
[tex]\frac{0.12 X 9}{6}[/tex] = 0.18 mol
Mass of [tex]O_2[/tex] =5.76 g
Hence, 5.76 g of [tex]O_2[/tex] are consumed when [tex]C_6H_1_2[/tex] yield 5.3 grams of [tex]CO_2[/tex].
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