Atom & Molecular Density of 235-U & Water Solution

[matt222]

Homework Statement

homogeneous solution of 235-U and water, contains 10g of 235-U/L of solution, what is the atom density of 235-U and the molecular density of water

Homework Equations

The Attempt at a Solution

first converting 10g/L to 0.01g/cm^3, density of water 1g/cm^3

N(235)/N(H2O)=density of U*M(H2O)/density of H2O*M(U)

N(235)/N(H2O)=7.66*10^-4

i stopped here can anyone giude me

 

[Trave11er]

You have calculated the molecular density correctly now calculate the atom density taking into account number of atoms in each water molecule.

 

[matt222]

I calculate it I realize that water atoms density it higher that U235, \U=2.56E19.,/WATER=3.35E22

 

[Trave11er]

Oh my bad - don't look at my previous post. The last answers you gave are totally correct.

 

[DeeNos]

To continue, we need to calculate the number of moles of 235-U in the solution. We can do this by dividing the mass of 235-U (10g) by its molar mass (235 g/mol). This gives us 0.0426 moles of 235-U in the solution.

Next, we can calculate the number of atoms of 235-U by multiplying the number of moles by Avogadro's number (6.022*10^23 atoms/mol). This gives us a total of 2.56*10^22 atoms of 235-U in the solution.

To find the atom density, we divide the number of atoms by the volume of the solution (0.01 cm^3). This gives us an atom density of 2.56*10^24 atoms/cm^3 for 235-U.

For the molecular density of water, we can use the same approach. First, we calculate the number of moles of water in the solution by dividing the mass of water (10g) by its molar mass (18 g/mol). This gives us 0.556 moles of water in the solution.

Next, we can calculate the number of molecules of water by multiplying the number of moles by Avogadro's number (6.022*10^23 molecules/mol). This gives us a total of 3.35*10^23 molecules of water in the solution.

To find the molecular density, we divide the number of molecules by the volume of the solution (0.01 cm^3). This gives us a molecular density of 3.35*10^25 molecules/cm^3 for water.

In summary, the atom density of 235-U in the solution is 2.56*10^24 atoms/cm^3 and the molecular density of water is 3.35*10^25 molecules/cm^3.