High School

If 15.2 g of aluminum reacts with 39.1 g of chlorine, what is the theoretical yield of AlCl?

(Hint: This will require you to identify the limiting reagent.)

Answer :

Final answer:

The theoretical yield of AICI is 17.6 grams.

Explanation:

To calculate the theoretical yield of AICI, we first need to determine the limiting reagent. Let's start by converting the given masses of aluminum and chlorine into moles.

Aluminum (Al):

15.2 g Al * (1 mol Al / 26.98 g Al) = 0.564 mol Al

Chlorine (Cl2):

39.1 g Cl2 * (1 mol Cl2 / 70.90 g Cl2) = 0.552 mol Cl2

Next, we need to compare the mole ratios of aluminum and chlorine to the balanced chemical equation:

2A + 3Cl2 → 2AICI

The mole ratio of aluminum to chlorine is 2:3. Since the mole ratio of aluminum to chlorine is less than 2:3, aluminum is the limiting reagent.

Now, we can use the mole ratio of aluminum to AICI to calculate the theoretical yield:

1 mol Al = 1 mol AICI

0.564 mol Al * (1 mol AICI / 2 mol Al) = 0.282 mol AICI

Finally, we can convert the moles of AICI to grams:

0.282 mol AICI * (62.5 g AICI / 1 mol AICI) = 17.6 g AICI

Learn more about calculating theoretical yield here:

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