As of May 17th 1213, the price of cobalt metal on the London Metal Exchange was $27500 per metric ton. One metric ton is defined as 1000Kg. Determine the price of cobalt in cents per atom.
Look at PT and get molar mass for Cobalt. Then in your final calculation set grams= to atoms which is the same as moles.
Do you know how to set up initially?
No, could you explain PT.
the molar mass for cobalt is 58.93 g/mols \
where do i go form there
periodic table..you have it correct. gram/mol
moles are same thing as atoms so your last calcs will be
1kg/1000g=1gram=1mole/58.93 grams you should be left with moles which again is atoms.
so it would be
27500 metric ton * 1 metric ton/1000kg *1kg/1000g*1mol/58.93g
giving you 466.655 cents in atoms?
is that right or did i mess up
I got 162 cents per atom
27500X100cents/1000kg/1000g*58.93
I could be wrong but that's what Im calculating
what that correct?
To determine the price of cobalt in cents per atom, we need to consider the molar mass of cobalt and the number of atoms in a metric ton of cobalt.
1. Determine the molar mass of cobalt:
The molar mass of cobalt can be found on the periodic table. The atomic weight of cobalt is approximately 58.93 grams per mole (g/mol).
2. Convert the molar mass to kilograms:
To convert grams to kilograms, divide the molar mass by 1000.
Molar mass of cobalt in kilograms = 58.93 g/mol / 1000 = 0.05893 kg/mol
3. Determine the number of moles in a metric ton of cobalt:
Since we know that one metric ton is equal to 1000 kg and the molar mass of cobalt is 0.05893 kg/mol, we can find the number of moles in a metric ton by dividing the mass by the molar mass.
Number of moles in a metric ton = 1000 kg / 0.05893 kg/mol = 16,976.76 mol
4. Determine the number of atoms in a metric ton of cobalt:
Avogadro's number tells us that there are approximately 6.022 x 10^23 atoms in one mole of any substance.
Number of atoms in a metric ton = Number of moles x Avogadro's number
Number of atoms in a metric ton = 16,976.76 mol x 6.022 x 10^23 atoms/mol = 1.021 x 10^28 atoms
5. Calculate the price of cobalt in cents per atom:
To calculate the price of cobalt in cents per atom, divide the price per metric ton by the number of atoms in a metric ton.
Price in cents per atom = $27500/metric ton / (1.021 x 10^28 atoms/metric ton)
Performing the calculation gives us the price of cobalt in cents per atom.