If 155 grams of potassium (K) reacts with 122 grams of potassium nitrate (KNO3), what is the limiting reagent? 2KNO3 + 10K 6K2O + N2
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 \(K\) and \(KNO_3\).
\(\text{Moles of }K=\frac{\text{Mass of }K}{\text{Molar mass of }K}=\frac{155g}{39g/mole}=3.97moles\)
\(\text{Moles of }KNO_3=\frac{\text{Mass of }KNO_3}{\text{Molar mass of }KNO_3}=\frac{122g}{101g/mole}=1.21moles\)
Now we have to calculate the limiting and excess reagent.
The balanced chemical reaction is,
\(2KNO_3+10K\rightarrow 6K_2O+N_2\)
From the balanced reaction we conclude that
As, 2 moles of \(KNO_3\) react with 10 mole of \(K\)
So, 1.21 moles of \(KNO_3\) react with \(\frac{10}{2}\times 1.21=6.05\) moles of \(K\)
That means, in the given balanced reaction, \(K\) is a limiting reagent because it limits the formation of products and \(KNO_3\) is an excess reagent.
Hence, the potassium is the limiting reagent.