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C × () MyLab ind Mastering Course Home × i? courseld 1 4 1 702298OpenVellumh MAC

ID: 545636 • Letter: C

Question

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Explanation / Answer

A)

Molar mass of Fe2O3,

MM = 2*MM(Fe) + 3*MM(O)

= 2*55.85 + 3*16.0

= 159.7 g/mol

mass(Fe2O3)= 22.05 g

number of mol of Fe2O3,

n = mass of Fe2O3/molar mass of Fe2O3

=(22.05 g)/(159.7 g/mol)

= 0.1381 mol

Molar mass of CO,

MM = 1*MM(C) + 1*MM(O)

= 1*12.01 + 1*16.0

= 28.01 g/mol

mass(CO)= 14.22 g

number of mol of CO,

n = mass of CO/molar mass of CO

=(14.22 g)/(28.01 g/mol)

= 0.5077 mol

Balanced chemical equation is:

Fe2O3 + 3 CO ---> 2 Fe + 3 CO2

1 mol of Fe2O3 reacts with 3 mol of CO

for 0.1381 mol of Fe2O3, 0.4142 mol of CO is required

But we have 0.5077 mol of CO

so, Fe2O3 is limiting reagent

we will use Fe2O3 in further calculation

According to balanced equation

mol of CO reacted = (3/1)* moles of Fe2O3

= (3/1)*0.1381

= 0.4142 mol

mol of CO remaining = mol initially present - mol reacted

mol of CO remaining = 0.5077 - 0.4142

mol of CO remaining = 0.0935 mol

Molar mass of CO,

MM = 1*MM(C) + 1*MM(O)

= 1*12.01 + 1*16.0

= 28.01 g/mol

mass of CO,

m = number of mol * molar mass

= 9.346*10^-2 mol * 28.01 g/mol

= 2.62 g

Answer: 2.62 g