Calculate the number of moles of excess reactant that will be left-over when 50.0 g of KI react with 50.0 g of Br2: 2KI + Br2 2KBr + I2

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Answer : The moles of excess reactant, [tex]Br_2[/tex] is, 0.1625 mole.

Explanation : Given,

Mass of [tex]KI[/tex] = 50 g

Mass of [tex]Br_2[/tex] = 50 g

Molar mass of [tex]KI[/tex] = 166 g/mole

Molar mass of [tex]Br_2[/tex] = 160 g/mole

First we have to calculate the moles of [tex]KI[/tex] and [tex]Br_2[/tex].

[tex]\text{Moles of }KI=\frac{\text{Mass of }KI}{\text{Molar mass of }KI}=\frac{50g}{166g/mole}=0.301moles[/tex]

[tex]\text{Moles of }Br_2=\frac{\text{Mass of }Br_2}{\text{Molar mass of }Br_2}=\frac{50g}{160g/mole}=0.313moles[/tex]

Now we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

[tex]2KI+Br_2\rightarrow 2KBr+I_2[/tex]

From the balanced reaction we conclude that

As, 2 moles of [tex]KI[/tex] react with 1 mole of [tex]Br_2[/tex]

So, 0.301 moles of [tex]KI[/tex] react with [tex]\frac{0.301}{2}=0.1505[/tex] moles of [tex]Br_2[/tex]

From this we conclude that, [tex]Br_2[/tex] is an excess reagent because the given moles are greater than the required moles and [tex]KI[/tex] is a limiting reagent and it limits the formation of product.

The moles of excess reactant, [tex]Br_2[/tex] = Given moles - Required moles

The moles of excess reactant, [tex]Br_2[/tex] = 0.313 - 0.1505 = 0.1625 mole

Therefore, the moles of excess reactant, [tex]Br_2[/tex] is, 0.1625 mole.

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