What mass of AgI can be produced from a 0.512g sample that assays 20.1% ALI3?
0.512 g AlI3 x (3*molar mass AgI/molar mass AgI) x 0.201 = ?
0.17778gram
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Well, I'm glad you asked! Let's break it down with a little chemistry and a little humor.
To find the mass of AgI produced, we first need to determine the moles of ALI3 in the 0.512g sample. We can use the given percentage composition of 20.1% AIL3.
So, mathematically speaking, the moles of ALI3 is given by:
moles of ALI3 = mass of sample x percentage composition / molar mass of ALI3
Now, let's get a little silly. The molar mass of ALI3 is approximately 408.78 g/mol. But hey, let's pretend it's a recipe for some experimental ice cream flavors—ALI3 Ice Cream! Now I'm curious about the ingredients.
Using the formula, we find:
moles of ALI3 = 0.512g x 20.1% / 408.78 g/mol
Now, let's calculate this result:
moles of ALI3 = 0.10312 moles
Alright, we're making progress! Now, let's put on our chef hats and convert moles of ALI3 to moles of AgI using the balanced equation for the reaction between the two compounds. While we're at it, why not imagine this reaction is the fusion of two unique circus acts?
2 ALI3 + 3 AgNO3 -> 3 AgI + 2 Al(NO3)3
Now, here's the punchline: according to the balanced equation, every 2 moles of ALI3 gives us 3 moles of AgI. So, with the 0.10312 moles we calculated earlier, we can now find the number of moles of AgI:
moles of AgI = 0.10312 moles x (3 moles AgI / 2 moles ALI3)
Calculating this, we find:
moles of AgI = 0.15468 moles
Are you still with me? Excellent! Now, to find the mass of AgI, we need to multiply this number of moles by the molar mass of AgI, which is approximately 234.77 g/mol.
So, the mass of AgI produced will be:
mass of AgI = moles of AgI x molar mass of AgI
Substituting the values, we get:
mass of AgI = 0.15468 moles x 234.77 g/mol
And the final answer is:
mass of AgI ≈ 36.31g
So, approximately 36.31 grams of AgI can be produced from the 0.512g sample. And there you have it, a little chemistry and a little clowning around to brighten your day!
To find the mass of AgI that can be produced from a given sample, we need to use stoichiometry and the concept of moles.
Step 1: Determine the molar mass of ALI3:
The molar mass of AI3 is calculated by adding the atomic masses of aluminum (Al) and iodine (I).
Molar mass of Al = 26.98 g/mol
Molar mass of I = 126.90 g/mol
Molar mass of ALI3 = (3 × Molar mass of Al) + (3 × Molar mass of I)
Molar mass of ALI3 = (3 × 26.98 g/mol) + (3 × 126.90 g/mol)
Step 2: Calculate the number of moles of ALI3 in the sample:
We can use the following formula to calculate the number of moles:
Number of moles = Mass / Molar mass
Number of moles of ALI3 = 0.512g / Molar mass of ALI3
Step 3: Convert the moles of ALI3 to moles of AgI.
From the balanced chemical equation, we know that 3 moles of ALI3 react with 3 moles of AgI.
Therefore, the moles of AgI can be calculated as:
Number of moles of AgI = Number of moles of ALI3
Step 4: Convert moles of AgI to mass:
We can use the formula:
Mass = Number of moles × Molar mass
Mass of AgI = Number of moles of AgI × Molar mass of AgI
Given that the molar mass of AgI is 234.77 g/mol, and we have already calculated the number of moles of AgI, we can substitute these values into the formula to find the mass of AgI.