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What is the maximum number of grams of NO (30.01 g/mol) that can be formed from the reaction of 19.8 g of NH₃ (17.03 g/mol) with 25.5 g of O₂ (32.00 g/mol)?

a. 34.822 g
b. 22.493 g
c. 15.678 g
d. 40.291 g

User Dstj
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1 Answer

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Final answer:

To determine the maximum number of grams of NO that can be formed from the reaction of NH₃ with O₂, we balance the equation, calculate the moles of each reactant, determine the limiting reactant, and use its moles to calculate the grams of NO formed. The maximum number of grams of NO is 22.493 g.

Step-by-step explanation:

To determine the maximum number of grams of NO that can be formed from the reaction of NH₃ with O₂, we need to first balance the chemical equation:

4 NH₃ + 5 O₂ → 4 NO + 6 H₂O

Next, we calculate the molar mass of NH₃, O₂, and NO:

Molar mass of NH₃ = 17.03 g/mol

Molar mass of O₂ = 32.00 g/mol

Molar mass of NO = 30.01 g/mol

Then, we convert the given masses of NH₃ and O₂ to moles:

Mass of NH₃ = 19.8 g

Mass of O₂ = 25.5 g

Moles of NH₃ = mass of NH₃ / molar mass of NH₃

Moles of O₂ = mass of O₂ / molar mass of O₂

Next, we determine the limiting reactant by comparing the moles of NH₃ and O₂:

Moles of NH₃ x (5 moles O₂ / 4 moles NH₃) = moles of O₂ needed

If the moles of O₂ needed is greater than the moles of O₂ given, then O₂ is the limiting reactant. Otherwise, NH₃ is the limiting reactant.

Finally, we use the moles of the limiting reactant to calculate the moles and grams of NO formed:

Moles of NO = moles of limiting reactant x (4 moles NO / 4 moles NH₃) = moles of limiting reactant

Grams of NO = moles of NO x molar mass of NO

In this case, with the given masses, O₂ is the limiting reactant, so we use the moles of O₂ to calculate the grams of NO formed:

Grams of NO = moles of O₂ x molar mass of NO

Calculating the values, we find that the maximum number of grams of NO that can be formed is 22.493 g (option b).

User Ian Fleeton
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