Respuesta :
2NaCN(s) + H₂SO₄(aq) --> Na₂SO₄(aq) + 2HCN(g)
The molar ratio between NaCN : HCN is 2:2 or 1:1
Mass of HCN = 16.7 g
Molar mass of HCN = 1 + 12 + 14 = 27 g/mol
Molar mass of NaCN = 49 g/mol
Therefore, the mass of NaCN is
16.7 g of HCN x 49 g/mol of NaCN / 27 g/mol of HCN = 30.3 grams of NaCN
Therefore, 30.3 grams of NaCN gives the lethal dose in the room.
Answer:
18.0 g
Explanation:
There is some info missing. I think this is the original question.
Hydrogen cyanide, HCN, is a poisonous gas. The lethal dose is approximately 300 mg HCN per kilogram of air when inhaled. The density of air at 26 °C is 1.18 kg/m³.
Consider the formation of HCN by the reaction of NaCN (sodium cyanide) with an acid such as H₂SO₄ (sulfuric acid):
2 NaCN(s) + H₂SO₄(aq) → Na₂SO₄(aq) + 2 HCN(g)
What mass of NaCN gives the lethal dose in the 28.0 m³ room? Express your answer to three significant figures and include the appropriate units.
The density of air is 1.18 kg/m³. The mass represented by 28 m³ is:
28.0 m³ × (1.18 kg/m³) = 33.0 kg
The lethal dose is approximately 300 mg HCN per kilogram of air. The lethal dose of HCN in 33.0 kg of air is:
33.0 kg air × (300 mg HCN / 1 kg air) = 9900 mg HCN = 9.90 g HCN
From the balanced equation, we can establish the following relations:
- The molar mass of HCN is 27.03 g/mol.
- The molar ratio of HCN to NaCN is 2:2.
- The molar mass of NaCN is 49.01 g/mol.
The mass of NaCN that produces 9.90 g of HCN is:
[tex]9.90gHCN.\frac{1molHCN}{27.03gHCN} .\frac{2molNaCN}{2molHCN} .\frac{49.01gNaCN}{1molNaCN} =18.0gNaCN[/tex]