How many molecules (not moles) of NH3 are produced from 8.92×10−4 g of H2?

Convert grams H2 to moles. Then follow the steps in this example. After you know moles NH3 produced, remember that 1 mole of NH3 at STP will contain 5.022E23 molecules.

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To determine the number of molecules of NH3 produced from a given mass of H2, we need to follow these steps:

Step 1: Convert the mass of H2 to moles using the molar mass of hydrogen.
Step 2: Use the balanced chemical equation to relate the moles of H2 to the moles of NH3.
Step 3: Convert the moles of NH3 to molecules using Avogadro's number.

Let's begin:

Step 1: Convert the mass of H2 to moles.
The molar mass of hydrogen (H2) is 2.016 g/mol.
Number of moles of H2 = mass of H2 / molar mass of H2
Number of moles of H2 = 8.92×10^-4 g / 2.016 g/mol

Using a calculator, we get:
Number of moles of H2 ≈ 4.421 × 10^-4 mol

Step 2: Use the balanced chemical equation to relate the moles of H2 to the moles of NH3.
The balanced equation for the reaction is:
3H2 + N2 → 2NH3

From the balanced equation, we can see that 3 moles of H2 react to produce 2 moles of NH3.
Using this ratio, we can calculate the moles of NH3 produced.

Number of moles of NH3 = (3/2) × Number of moles of H2
Number of moles of NH3 = (3/2) × 4.421 × 10^-4 mol

Using a calculator, we get:
Number of moles of NH3 ≈ 6.6315 × 10^-4 mol

Step 3: Convert the moles of NH3 to molecules using Avogadro's number.
Avogadro's number (NA) is 6.022 × 10^23 molecules/mol.

Number of molecules of NH3 = Number of moles of NH3 × Avogadro's number.
Number of molecules of NH3 = 6.6315 × 10^-4 mol × 6.022 × 10^23 molecules/mol

Using a calculator, we get:
Number of molecules of NH3 ≈ 3.99267 × 10^20 molecules

Therefore, approximately 3.99 × 10^20 molecules of NH3 are produced from 8.92 × 10^-4 g of H2.

To determine the number of molecules of NH3 produced from a given amount of H2, we need to follow a series of steps:

1. Calculate the moles of H2:
- Use the molar mass of H2 (2 grams/mol) to convert the given mass of H2 to moles.
- Divide the given mass of H2 (in grams) by the molar mass of H2 (in grams/mol).

2. Apply the stoichiometry of the balanced chemical equation:
- Based on the balanced chemical equation for the reaction, determine the mole ratio between H2 and NH3.
- For every 3 moles of H2, 2 moles of NH3 are produced. This ratio is obtained from the balanced chemical equation.
- Multiply the moles of H2 calculated in step 1 by the mole ratio to convert moles of H2 to moles of NH3.

3. Convert moles of NH3 to molecules:
- Use Avogadro's number (6.022 x 10^23 molecules/mol) to convert moles of NH3 to molecules.
- Multiply the moles of NH3 calculated in step 2 by Avogadro's number to obtain the number of molecules of NH3.

Let's calculate it step by step:

Step 1: Calculate the moles of H2
Given mass of H2 = 8.92×10−4 g
Molar mass of H2 = 2 g/mol

moles of H2 = (given mass of H2) / (molar mass of H2)
= 8.92×10−4 g / 2 g/mol
= 4.46×10−4 mol

Step 2: Apply the stoichiometry
Mole ratio between H2 and NH3:
3 moles H2 : 2 moles NH3

moles of NH3 = (moles of H2) x (2 moles NH3 / 3 moles H2)
= 4.46×10−4 mol x (2/3)
= 2.97×10−4 mol

Step 3: Convert moles of NH3 to molecules
Avogadro's number = 6.022 x 10^23 molecules/mol

number of molecules of NH3 = (moles of NH3) x (Avogadro's number)
= 2.97×10−4 mol x (6.022 x 10^23 molecules/mol)
= 1.79×10^20 molecules

Therefore, 1.79×10^20 molecules of NH3 are produced from 8.92×10−4 g of H2.