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Question 7.11: In the chemical reaction of iron and sulfur, how many moles ...

In the chemical reaction of iron and sulfur, how many moles of sulfur are needed to react with 1.42 moles of iron?

2Fe(s) + 3S(s) → Fe_{2}S_{3}(s)
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STEP 1   State the given and needed quantities.

ANALYZE THE PROBLEM Given Need Connect
1.42 moles of Fe  moles of S mole-mole factor
Equation
2Fe(s) + 3S(s) → Fe_{2}S_{3}(s)

STEP 2  Write a plan to convert the given to the needed quantity (moles).

moles  of  Fe      \boxed{\begin{array}{l}\text{Mole-mole}\\\text{factor}\end{array}} →      moles  of  S

STEP 3  Use coefficients to write mole-mole factors.

\boxed{\begin{array}{l} 2  moles  of  Fe = 3  moles  of  S \\ \frac{2  moles  Fe}{3  moles  S}         and         \frac{3  moles  S}{2  moles  Fe} \end{array}}

STEP 4  Set up the problem to give the needed quantity (moles).

\underset{Three  SFs }{1.42  \cancel{moles  Fe}}     \times    \overset{Exact}{\underset{Exact}{\boxed{\frac{3  moles  S}{2  \cancel{moles  Fe}} }}}   = \underset{Three  Sfs }{2.13  moles  of  S}

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