Chromium(II) sulfate, CrSO4, is a reagent that has been

Chapter 4, Problem 71

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QUESTION:

Chromium(II) sulfate, \(\mathrm{CrSO}_{4}\), is a reagent that has been used in certain applications to help reduce carbon-carbon double bonds (\(\mathrm{C}=\mathrm{C}\)) in molecules to single bonds (\(C-C\)). The reagent can be prepared via the following reaction.

\(\begin{array}{l}
4 \mathrm{Zn}(\mathrm{s})+\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) \longrightarrow \\
\quad 4 \mathrm{ZnSO}_{4}(\mathrm{aq})+2 \mathrm{CrSO}_{4}(\mathrm{aq})+\mathrm{K}_{2} \mathrm{SO}_{4}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})
\end{array}\)

What is the maximum number of grams of \(\mathrm{CrSO}_{4}\) that can be made from a reaction mixture containing 3.2 mol Zn, 1.7 mol \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\), and 5.0 mol \(\mathrm{H}_{2} \mathrm{SO}_{4}\)?

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QUESTION:

Chromium(II) sulfate, \(\mathrm{CrSO}_{4}\), is a reagent that has been used in certain applications to help reduce carbon-carbon double bonds (\(\mathrm{C}=\mathrm{C}\)) in molecules to single bonds (\(C-C\)). The reagent can be prepared via the following reaction.

\(\begin{array}{l}
4 \mathrm{Zn}(\mathrm{s})+\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) \longrightarrow \\
\quad 4 \mathrm{ZnSO}_{4}(\mathrm{aq})+2 \mathrm{CrSO}_{4}(\mathrm{aq})+\mathrm{K}_{2} \mathrm{SO}_{4}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{O}(\mathrm{l})
\end{array}\)

What is the maximum number of grams of \(\mathrm{CrSO}_{4}\) that can be made from a reaction mixture containing 3.2 mol Zn, 1.7 mol \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\), and 5.0 mol \(\mathrm{H}_{2} \mathrm{SO}_{4}\)?

ANSWER:

Step 1 of 3

Given data:

The moles of Zn is 3.2 mol.

The moles of \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\) is 1.7 mol.

The moles of \(\mathrm{H}_{2} \mathrm{SO}_{4}\) is 5.0 mol.

Given balanced chemical equation is:

\(4 \mathrm{Zn}(\mathrm{s})+\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{SO}_{4}(\mathrm{aq}) \rightarrow 4 \mathrm{ZnSO}_{4}(\mathrm{aq})+2 \mathrm{CrSO}_{4}(\mathrm{aq})+\mathrm{K}_{2} \mathrm{SO}_{4}(\mathrm{aq})+7 \mathrm{H}_{2} \mathrm{O}(\mathrm{I})\)

To calculate:

The maximum number of grams of \(\mathrm{CrSO}_{4}\) that can be made from a reaction mixture.

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