Consider the equation:
N2 + 3 H2 =>2 NH3.
How many moles of NH3 will be made from 4.2 x 1023 molecules of N2? Give your answer to one decimal place.
How many mols is 4.2E23 molecules N2. One mols contains 6.02E23 molecules; therefore, mols = 4.2E23/6.02E23 = ?
Use the coefficients in the balanced equation to convert mols N2 to mols NH3.
To find the number of moles of NH3 produced from a given number of molecules of N2, we need to convert the given number of molecules of N2 to moles, and then use the stoichiometry of the balanced equation to determine the mole ratio of NH3 to N2.
Step 1: Convert the number of molecules of N2 to moles
To convert from number of molecules to moles, we use Avogadro's number (6.022 x 10^23 molecules/mole).
Given:
Number of molecules of N2 = 4.2 x 10^23 molecules
To convert to moles, we divide the number of molecules by Avogadro's number:
Moles of N2 = (4.2 x 10^23 molecules) / (6.022 x 10^23 molecules/mole)
≈ 0.698 moles (rounded to three decimal places)
Step 2: Use stoichiometry to determine the mole ratio of NH3 to N2
From the balanced equation, we can see that the mole ratio of NH3 to N2 is 2:1. This means that for every 2 moles of NH3 produced, we need 1 mole of N2.
Using the mole ratio, we can calculate the moles of NH3 produced:
Moles of NH3 = (0.698 moles N2) * (2 moles NH3 / 1 mole N2)
= 1.396 moles
To round to one decimal place, we get:
Moles of NH3 ≈ 1.4 moles
Therefore, 4.2 x 10^23 molecules of N2 will produce approximately 1.4 moles of NH3.