how many molecules are in 1.00 kg of hydrazine, N2H4?
To determine the number of molecules in 1.00 kg of hydrazine (N2H4), we need to use the molar mass of hydrazine and Avogadro's number.
First, we need to determine the molar mass of hydrazine (N2H4). The molar mass of nitrogen (N) is approximately 14.01 g/mol, and the molar mass of hydrogen (H) is approximately 1.01 g/mol. Therefore, the molar mass of hydrazine is:
Molar mass of N2H4 = (2 * molar mass of N) + (4 * molar mass of H)
= (2 * 14.01 g/mol) + (4 * 1.01 g/mol)
= 28.02 g/mol + 4.04 g/mol
= 32.06 g/mol
Now we will convert the mass of 1.00 kg to grams:
1.00 kg = 1000 g
Next, using the molar mass of hydrazine, we can calculate the number of moles of hydrazine in 1.00 kg:
Number of moles of hydrazine = (mass of hydrazine) / (molar mass of hydrazine)
= 1000 g / 32.06 g/mol
= 31.20 mol (rounded to two decimal places)
Finally, we can calculate the number of molecules using Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol:
Number of molecules = (number of moles) * (Avogadro's number)
= 31.20 mol * (6.022 x 10^23 molecules/mol)
= 1.88 x 10^25 molecules
Therefore, there are approximately 1.88 x 10^25 molecules in 1.00 kg of hydrazine.
To determine the number of molecules in 1.00 kg of hydrazine (N2H4), we can follow these steps:
Step 1: Find the molar mass of hydrazine (N2H4)
Hydrazine (N2H4) consists of 2 nitrogen atoms (N) with a molar mass of 14.01 g/mol each, and 4 hydrogen atoms (H) with a molar mass of 1.01 g/mol each.
Molar mass of hydrazine (N2H4):
= (2 * molar mass of N) + (4 * molar mass of H)
= (2 * 14.01 g/mol) + (4 * 1.01 g/mol)
= 28.02 g/mol + 4.04 g/mol
= 32.06 g/mol
Step 2: Convert 1.00 kg to grams
Since the molar mass of hydrazine is given in grams per mole (g/mol), we need to convert 1.00 kg to grams.
1 kg = 1000 g
Step 3: Calculate the number of moles of hydrazine
Now, we can calculate the number of moles of hydrazine by dividing the mass of hydrazine (in grams) by its molar mass.
Number of moles = Mass of hydrazine (g) / Molar mass of hydrazine (g/mol)
Number of moles = 1000 g / 32.06 g/mol
Number of moles ≈ 31.19 mol
Step 4: Calculate the number of molecules
Finally, to find the number of molecules, we can use Avogadro's number, which states that there are 6.022 x 10^23 molecules per mole.
Number of molecules = Number of moles * Avogadro's number
Number of molecules = 31.19 mol * 6.022 x 10^23 molecules/mol
Number of molecules ≈ 1.88 x 10^25 molecules
Therefore, there are approximately 1.88 x 10^25 molecules in 1.00 kg of hydrazine (N2H4).