the total mass of a vehicle is due to 56 Fe, what mass of a 1.4 metric ton(tonne) automobile is due to the electrons?
To find the mass of the electrons in a 1.4 metric ton automobile, we first need to determine the relative abundance of iron (Fe) and electrons in the vehicle's total mass.
1. Determine the molar mass of iron (Fe):
The molar mass of iron (Fe) is approximately 55.85 grams/mol.
2. Calculate the number of moles of iron (Fe) in the vehicle:
Since the total mass of the automobile is given as 1.4 metric tons (tonnes), we need to convert this mass to grams. There are 1000 grams in one metric ton:
Mass of automobile = 1.4 metric tons × 1000 grams/ton = 1400 kilograms × 1000 grams/kilogram = 1,400,000 grams.
To find the number of moles of iron, we divide the mass of iron by the molar mass of iron:
Number of moles of iron = Mass of iron (grams) / Molar mass of iron (55.85 grams/mol)
3. Calculate the number of moles of electrons:
Since the molar mass of an electron is approximately 0.000549 grams/mol, we can use this value to determine the number of moles of electrons in the vehicle.
Number of moles of electrons = Number of moles of iron × (mass of iron / mass of an electron)
= Number of moles of iron × (55.85 grams/mol / 0.000549 grams/mol)
4. Finally, calculate the mass of electrons:
Mass of electrons = Number of moles of electrons × Molar mass of electrons
= Number of moles of electrons × 0.000549 grams/mol
Now you can substitute the values into the calculations to find the mass of the electrons in the 1.4 metric ton (tonne) automobile.