Consider the formation of cyanogen c2n2 and its subsequent decomposition in water given by the equations
2Cu2+ + 6CN- 2[Cu(CN)2]- + C2N2
C2N2 + H2O HCN + HOCN
How much hydrocyanic acid HCN can be produced from 35.00 g of KCN, assuming 100% yield?
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Convert 35.00 g KCN to mols. mol = grams/molar mass = ? mols KCN
Using the coefficients in the balanced equationS to convert mols KCN to mols HCN. That will require two factors; i.e.,
?mol KCN x (1 mol C2N2/6 mol KCN) x (1 mol C2N2/1 mol HCN) = ?
Now convert mols HCN to grams. g = mols x molar mass.
To determine how much hydrocyanic acid (HCN) can be produced from 35.00 g of KCN, we first need to calculate the amount of KCN in moles. Then, we'll use stoichiometry to determine the number of moles of HCN produced and finally convert it to grams.
Here's the step-by-step approach:
Step 1: Calculate the molar mass of KCN.
The molar mass of K (potassium) is 39.10 g/mol, C (carbon) is 12.01 g/mol, and N (nitrogen) is 14.01 g/mol. Adding these atomic masses together, we get:
Molar mass of KCN = (39.10 g/mol) + (12.01 g/mol) + (14.01 g/mol) = 65.12 g/mol
Step 2: Convert the mass of KCN to moles.
We can use the formula:
Number of moles = Mass / Molar mass
Number of moles of KCN = 35.00 g / 65.12 g/mol ≈ 0.537 mol
Step 3: Use stoichiometry to calculate the number of moles of HCN produced.
Looking at the balanced equation,
C2N2 + H2O → HCN + HOCN
We can see that the stoichiometric ratio between KCN and HCN is 6:2.
So, the number of moles of HCN = (2/6) × 0.537 mol = 0.179 mol
Step 4: Convert the moles of HCN to grams.
Using the formula:
Mass = Number of moles × Molar mass
Mass of HCN = 0.179 mol × (27.03 g/mol) ≈ 4.84 g
Therefore, approximately 4.84 grams of hydrocyanic acid (HCN) can be produced from 35.00 grams of KCN, assuming 100% yield.