how many moles of HCl will be produced when 30g of H2O are reacted according to the chemical equation 2AlCl3 + 3H2O -> Al2O3 + 6HCl? (molar masses are H2o=18.015g and HCl=36>46g)
Well, this question is a bit like asking a clown to do complex math! But hey, I'll give it a shot!
First, let's find the number of moles of water (H2O) using its molar mass. 30g of H2O divided by its molar mass (18.015g/mol) gives us approximately 1.664 moles of H2O.
According to the balanced chemical equation, 2 moles of AlCl3 react with 3 moles of H2O to produce 6 moles of HCl. So, for every 3 moles of H2O, we get 6 moles of HCl.
Now, since we have 1.664 moles of H2O, we can use proportions to find the number of moles of HCl.
Cross multiplying, we get:
3 moles of H2O = 6 moles of HCl
1.664 moles of H2O = x moles of HCl
Solving for x, we get:
x = (1.664 moles of H2O * 6 moles of HCl) / 3 moles of H2O
x ≈ 3.328 moles of HCl
So, approximately 3.328 moles of HCl will be produced when 30g of H2O are reacted. That's a lot of moles! Hope my clownish calculations made you smile!
To calculate the number of moles of HCl produced, we need to follow these steps:
Step 1: Calculate the number of moles of H2O.
Given:
Mass of H2O = 30g
Molar mass of H2O = 18.015g/mol
Number of moles of H2O = Mass of H2O ÷ Molar mass of H2O
Number of moles of H2O = 30g ÷ 18.015g/mol
Step 2: Use the stoichiometric ratio between H2O and HCl.
From the balanced chemical equation:
2AlCl3 + 3H2O -> Al2O3 + 6HCl
The mole ratio of H2O to HCl is 3:6 (or 1:2).
Number of moles of HCl = Number of moles of H2O × (6 moles of HCl / 3 moles of H2O)
Now, plug in the values:
Number of moles of HCl = (30g ÷ 18.015g/mol) × (6 mol HCl / 3 mol H2O)
Simplifying this:
Number of moles of HCl = (30 ÷ 18.015) × (6/3) mol
Finally, calculate the number of moles of HCl produced.
To find the number of moles of HCl produced, we need to follow a few steps.
Step 1: Calculate the number of moles of H2O.
Given mass of H2O = 30g
Molar mass of H2O = 18.015g/mol
To find the number of moles, we use the formula:
Number of moles = Mass / Molar mass
Number of moles of H2O = 30g / 18.015g/mol
Step 2: Calculate the stoichiometric ratio of HCl to H2O.
From the balanced chemical equation: 2AlCl3 + 3H2O -> Al2O3 + 6HCl
The ratio of H2O to HCl is 3:6 (or 1:2).
Step 3: Calculate the number of moles of HCl produced.
The number of moles of HCl produced is directly proportional to the number of moles of H2O consumed, based on the stoichiometric ratio.
Number of moles of H2O = Number of moles of HCl
So, the number of moles of HCl produced is also 30g / 18.015g/mol.
Finally, calculate the number of moles of HCl:
Number of moles of HCl = 30g / 18.015g/mol = 1.665 mol (rounded to three decimal places)
Therefore, when 30g of H2O reacts, approximately 1.665 moles of HCl will be produced.
All of the stoichiometry problem are worked alike.
1. Write and balanced equation which you have.
2. Convert 30 g H2O to mols. mol = grams/molar mass
3. Using the coefficients in the balanced equation, convert mols H2O to mols or the product.
4. Now convert mols product to grams. g = mols x molar mass.