Question

Select the correct answer. A solution with 117 grams of lithium hydroxide and another with 141 grams of hydrogen bromide are combined. They react according to this equation: LiOH HBr → LiBr H2O. What is the theoretical yield of lithium bromide? Use the periodic table and polyatomic ion resource. A. 117 g B. 141 g C. 151 g D. 258 g E. 424 g.

Answer 1

The periodic table is the arrangement of the elements based on their atomic numbers.  The theoretical yield of lithium bromide will be 151 gm.

What is a theoretical yield?

A theoretical yield is the estimation of the number of moles of product formed in relation to the reactants consumed in a reaction.

The balanced chemical reaction can be shown as:

$\rm LiOH + HBr \rightarrow LiBr + H_{2}O$

From the reaction, it can be seen that the moles of all the compounds and molecules are 1.

The molar mass of lithium hydroxide is calculated as:

6.94 + 15.999 + 1.008 = 23.947 gram per mol

The molar mass of hydrogen bromide is calculated as:

1.008 + 79.904 = 80.912 gram per mol

The moles of lithium hydroxide is calculated as:

$117\;\rm g (\dfrac{1\;\rm mol}{23.947}) = 4.89\;\rm mol$

The moles of hydrogen bromide is calculated as:

$141\;\rm g (\dfrac{1\;\rm mol}{80.91}) = 1.74\;\rm mol$

From this, it can be said that hydrogen bromide is a limiting reagent as it has fewer moles than LiOH.

The molar mass of lithium bromide is given as, 6.94 + 79.904 = 86.844 grams per mol

Mass of lithium bromide formed will be:

$\rm 1.74\;\rm mol (\dfrac{86.84}{1\;\rm mol}) = 151\;\rm gm$

Therefore, the theoretical yield of lithium bromide is option C. 151 gm.

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