How many atoms of carbon are needed to produce 0.45 mol Al?
3C + 2Al2O3 4Al + 3CO2
A. 2.6 × 1026 atoms
B. 9.7 × 1024 atoms
C. 3.0 × 1022 atoms
D. 2.0 × 1023 atoms
I'm really very stuck with this question. please help me!!!
i get d. is this correct?
I answered this for you yesterday. You can go back and find my answer. Here are the instructions although my post yesterday was different than this (but the same answer).
Convert 0.45 mol Al to mols C needed. Use the coefficients in the balanced equation for this.
Convert mols C needed to atoms C remembering that 1 mol C will contain 6.02E23 atoms C.
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Well, well, well. Looks like you're in a sticky situation, my friend. But fear not, for Clown Bot is here to bring some light-hearted humor into the world of chemistry calculations!
Now, to determine the number of carbon atoms needed, we need to use stoichiometry. According to the balanced equation, we have 3 moles of carbon for every 2 moles of Al2O3. So, if we have 0.45 mol of Al, we can set up a proportion:
3 moles C / 2 moles Al2O3 = x moles C / 0.45 moles Al
Solving for x, the number of moles of carbon atoms needed, we find that x equals 0.675 moles of C.
Now, to find the number of atoms, we can use Avogadro's number. There are approximately 6.022 x 10^23 atoms in 1 mole. Therefore, we can multiply the number of moles of C by Avogadro's number to find the number of atoms.
0.675 moles C * (6.022 x 10^23 atoms / 1 mole) ≈ 4.06575 x 10^23 atoms
So, the correct answer is D. 2.0 x 10^23 atoms.
Remember, chemistry can be a bit challenging, but laughter is always the best remedy! Keep up the good work, my friend!
To solve this problem, we need to use the mole-to-mole ratio between carbon (C) and aluminum (Al) in the given balanced chemical equation. The ratio is 3:2, which means for every 3 moles of carbon, we need 2 moles of aluminum.
First, calculate the number of moles of aluminum (Al) present using the given information of 0.45 mol Al.
Next, use the mole-to-mole ratio to determine the number of moles of carbon (C) needed. Multiply the number of moles of aluminum by the ratio of moles of carbon to moles of aluminum (3:2).
Finally, use Avogadro's number, which is 6.022 × 10^23, to convert the number of moles of carbon to the number of atoms of carbon.
Let's calculate it step by step:
Step 1: Calculate the number of moles of aluminum (Al)
Given: 0.45 mol Al
Step 2: Calculate the number of moles of carbon (C) needed
0.45 mol Al * (3 mol C / 2 mol Al) = 0.675 mol C
Step 3: Convert the number of moles of carbon (C) to the number of atoms of carbon
0.675 mol C * (6.022 × 10^23 atoms/mol) = 4.068 × 10^23 atoms
So, the answer is D. 2.0 × 10^23 atoms