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If 155 grams of potassium (K) reacts with 122 grams of potassium nitrate (KNO3), what is the limiting reagent? 2KNO3 + 10K 6K2O + N2

Respuesta :

K = 39 g/mol
KNO3 = 101 g/mol

2 KNO3 + 10 K = 6 K2O + N2

2 x 101 g KNO3 ---------- 10 x 39 g K
122 g KNO3 -------------- ??

122 x 10 x 39 / 2 x 101 =

47580 / 202 => 235.54 g  of K

 ( KNO3 is Excess reagent ) 

2 x 101 g KNO3 ---------- 10 x 39 g K
??  --------------------------- 155 g K

155 x 2 x 101 / 10 x 39 =

31310 / 390 => 80.28 g of KNO3   ( K is limiting reagent )

hope this helps!

Answer : The limiting reagent is, potassium

Explanation : Given,

Mass of potassium = 155 g

Mass of potassium nitrate = 122 g

Molar mass of potassium = 39 g/mole

Molar mass of potassium nitrate = 101 g/mole

First we have to calculate the moles of [tex]K[/tex] and [tex]KNO_3[/tex].

[tex]\text{Moles of }K=\frac{\text{Mass of }K}{\text{Molar mass of }K}=\frac{155g}{39g/mole}=3.97moles[/tex]

[tex]\text{Moles of }KNO_3=\frac{\text{Mass of }KNO_3}{\text{Molar mass of }KNO_3}=\frac{122g}{101g/mole}=1.21moles[/tex]

Now we have to calculate the limiting and excess reagent.

The balanced chemical reaction is,

[tex]2KNO_3+10K\rightarrow 6K_2O+N_2[/tex]

From the balanced reaction we conclude that

As, 2 moles of [tex]KNO_3[/tex] react with 10 mole of [tex]K[/tex]

So, 1.21 moles of [tex]KNO_3[/tex] react with [tex]\frac{10}{2}\times 1.21=6.05[/tex] moles of [tex]K[/tex]

That means, in the given balanced reaction, [tex]K[/tex] is a limiting reagent because it limits the formation of products and [tex]KNO_3[/tex] is an excess reagent.

Hence, the potassium is the limiting reagent.

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