CALCULATE THE MASS OF 8.37X10TO THE 25 MOLECULES OF DINITROGEN TETRAHYDRIDE
1. Divide 8.37x10^25 molecules of N2O4 by the number in 1 mole which is 6.02x10^23 molecules/mole. This will give you the number of moles.
2. Find the formula mass of N2O4
3. Multiply the number of moles by the formula mass to get the number of grams of N2O4
To calculate the mass of a certain number of molecules of a compound, you will need to know the molar mass of the compound.
1. Determine the molar mass of dinitrogen tetrahydride (N2H4):
- The molecular formula for dinitrogen tetrahydride is N2H4.
- Look up the atomic masses of each element:
- The atomic mass of nitrogen (N) is approximately 14.01 g/mol.
- The atomic mass of hydrogen (H) is approximately 1.01 g/mol.
- Calculate the molar mass of N2H4:
Molar mass of N2H4 = (2 * Atomic mass of N) + (4 * Atomic mass of H)
2. Calculate the total mass of 8.37 x 10^25 molecules of N2H4:
- Since 1 mole of any substance contains Avogadro's number of particles (6.022 x 10^23), you can calculate the number of moles in 8.37 x 10^25 molecules:
Moles of N2H4 = (Number of molecules) / (Avogadro's number)
- Calculate the mass using the formula:
Mass = Moles of N2H4 * Molar mass of N2H4
Now, let's calculate:
1. Molar mass of N2H4:
- Molar mass of N2H4 = (2 * 14.01 g/mol) + (4 * 1.01 g/mol)
- Molar mass of N2H4 = 28.02 g/mol + 4.04 g/mol
- Molar mass of N2H4 = 32.06 g/mol
2. Mass of 8.37 x 10^25 molecules of N2H4:
- Moles of N2H4 = (8.37 x 10^25 molecules) / (6.022 x 10^23 molecules/mol)
- Moles of N2H4 ≈ 13.89
- Mass = 13.89 mol * 32.06 g/mol
- Mass ≈ 445.62 g
Therefore, the mass of 8.37 x 10^25 molecules of dinitrogen tetrahydride (N2H4) is approximately 445.62 grams.