Respuesta :

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Answer:

[tex]\large \boxed{\text{29.2 g}}[/tex]

Explanation:

We will need a chemical equation with masses and molar masses, so, let's gather all the information in one place.

MM:     52.00          151.99

             2Cr + … ⟶ Cr₂O₃ + …

m/g:      20.0

(a) Moles of Cr

[tex]\text{Moles of Cr} = \text{20.0 g Cr}\times \dfrac{\text{1 mol Cr }}{\text{52.00 g Cr}}= \text{0.3846 mol Cr}[/tex]

(b) Moles of Cr₂O₃

[tex]\text{Moles of Cr$_{2}$O}_{3} = \text{0.3846 mol Cr} \times \dfrac{\text{1 mol Cr$_{2}$O}_{3}}{\text{2 mol Cr}} = \text{0.1923 mol Cr$_{2}$O}_{3}[/tex]

(c) Mass of Cr₂O₃

[tex]\text{Mass of Cr$_{2}$O}_{3} =\text{0.1923 mol Cr$_{2}$O}_{3} \times \dfrac{\text{151.99 g Cr$_{2}$O}_{3}}{\text{1 mol Cr$_{2}$O}_{3}} = \textbf{29.2 g Cr$_{2}$O}_{3}\\\\\text{The reaction will produce $\large \boxed{\textbf{29.2 g}}$ of Cr$_{2}$O$_{3}$}[/tex]

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