Toxic chromate can be precipitated from an aqueous solution...

Toxic chromate can be precipitated from an aqueous solution by bubbling $\mathrm{SO}_{2}$ through the solution. How many grams of $\mathrm{SO}_{2}$ are required to treat $3.0 \times 10^{8} \mathrm{L}$ of $0.050 \mathrm{mM} \mathrm{CrO}_{4}^{-} ?$ $$\begin{aligned} &2 \mathrm{CrO}_{4}^{2-}(a q)+3 \mathrm{SO}_{2}(g)+4 \mathrm{H}^{+}(a q) \rightarrow\\ &\mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}(s)+2 \mathrm{H}_{2} \mathrm{O}(\ell) \end{aligned}$$

Toxic chromate can be precipitated from an aqueous solution by bubbling $\mathrm{SO}_{2}$ through the solution. How many grams of $\mathrm{SO}_{2}$ are required to treat $3.0 \times 10^{8} \mathrm{L}$ of $0.050 \mathrm{mM} \mathrm{CrO}_{4}^{-} ?$ $$\begin{aligned}
&2 \mathrm{CrO}_{4}^{2-}(a q)+3 \mathrm{SO}_{2}(g)+4 \mathrm{H}^{+}(a q) \rightarrow\\
&\mathrm{Cr}_{2}\left(\mathrm{SO}_{4}\right)_{3}(s)+2 \mathrm{H}_{2} \mathrm{O}(\ell)
\end{aligned}$$

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Key Concepts

Stoichiometry

Stoichiometry involves using the balanced chemical equation to relate the quantities, typically in moles, of reactants and products. It allows us to calculate how much of one substance is needed to completely react with a given amount of another by using the mole ratios derived from the balanced equation.

Molarity and Volume Conversions

Molarity is the concentration of a solution expressed as the number of moles of solute per liter of solution. This concept is crucial when converting volumes (in liters) and molarity (in moles per liter) to determine the total moles of a substance present in the solution.

Balanced Chemical Equations

A balanced chemical equation ensures that the same number of atoms for each element is present on both sides of the reaction. This is central to understanding the mole ratios between reactants and products, which are used in quantitative analysis.

Molar Mass and Unit Conversions

The molar mass of a substance, expressed in grams per mole, is used to convert between the number of moles and the mass of the substance. Unit conversions are also essential, for example converting millimolar concentrations to molar and ensuring volumes are in the correct units to align with the concentration units.

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