select the correct answer. given: 2libr + ba → babr2 + 2li in this chemical reaction, 325 grams of barium…

select the correct answer. given: 2libr + ba → babr2 + 2li in this chemical reaction, 325 grams of barium (ba) react completely. how many moles of lithium (li) are produced? a. 1.18 mol b. 2.37 mol c. 4.73 mol d. 16.4 mol e. 32.9 mol
Answer
Explanation:
Step1: Calculate moles of barium
The molar - mass of barium (Ba) is approximately 137.33 g/mol. Using the formula $n=\frac{m}{M}$, where $n$ is the number of moles, $m$ is the mass, and $M$ is the molar - mass. Given $m = 325$ g and $M=137.33$ g/mol, we have $n_{Ba}=\frac{325}{137.33}\approx2.37$ mol.
Step2: Determine mole ratio
From the balanced chemical equation $2LiBr + Ba\rightarrow BaBr_2+2Li$, the mole ratio of $Ba$ to $Li$ is $1:2$. That is, for every 1 mole of $Ba$ that reacts, 2 moles of $Li$ are produced.
Step3: Calculate moles of lithium
If $n_{Ba} = 2.37$ mol, then $n_{Li}=2\times n_{Ba}$. So $n_{Li}=2\times2.37 = 4.74$ mol (the small difference from 4.73 mol is due to rounding in the molar - mass value).
Answer:
C. 4.73 mol