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svlad2 [7]
3 years ago
15

as a solid, Cr adopts a body-centered cubic unit cell. How many unit cells are present per cubic centimeter of Cr?

Chemistry
1 answer:
Rufina [12.5K]3 years ago
8 0
D(Cr) = 8,96 g/cm3 

<span>M(Cr) = 63,546 g/mol </span>

 

<span>In a cell face centred cubic, there are 4 atoms of Cur . . . ! </span>

<span>n(Cr in 1 cm3) = m(Cu) / M(Cr) </span>
<span>n(Cr in 1 cm3) = 8,96 / 63,546 </span>
<span>n(Cr in 1 cm3) = 0,141 mol of Cr </span>


<span>Avogadro's number is : NA = 6,02•10^23 mol^-1 </span>


<span>N(Cr) = n(Cu) x NA </span>
<span>N(Cr) = 0,141 x 6,02•10^23 </span>
<span>N(Cr) = 8,488•10^22 atoms of Cr </span>

<span>N(cell) = N(Cu) / 4 </span>
<span>N(cell) = 8,488•10^22 / 4 </span>
<span>N(cell) = 2,122•10^22 cells in 1 cm3</span>
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An unknown compound with a molar mass of 223.94 g/mol consists of 32.18% c, 4.50% h, and 63.32% cl. find the molecular formula f
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The actual number of atoms of each element present in the molecule of the compound is represented by the formula known as molecular formula.

Molar mass of the unknown compound = 223.94 g/mol (given)

Mass of each element present in the unknown compound is determined as:

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\frac{32.18}{100}\times 223.94 = 72.06 g

  • Mass of hydrogen, H:

\frac{4.5}{100}\times 223.94 = 10.08 g

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\frac{63.32}{100}\times 223.94 = 141.79 g

Now, the number of each element in the unknown compound is determined by the formula:

number of moles = \frac{given mass}{molar mass}

  • Number of moles of C:

number of moles = \frac{72.06}{12} = 6.005 mole\simeq 6 mole

  • Number of moles of H:

number of moles = \frac{10.08}{1} = 10.08 mole\simeq 10 mole

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Dividing each mole with the smallest number of mole, to determine the empirical formula:

C_{\frac{6}{4}}H_{\frac{10}{4}}Cl_{\frac{10}{4}}

C_{1.5}H_{2.5}Cl_{1}

Multiplying with 2 to convert the numbers in formula into a whole number:

So, the empirical formula is C_{3}H_{5}Cl_{2}.

Empirical mass = 12\times 3+1\times 5+2\times 35.5 = 112 g/mol

In order to determine the molecular formula:

n = \frac{molar mass}{empirical mass}

n = \frac{223.94}{112} = 1.99 \simeq 2

So, the molecular formula is:

2\times C_{3}H_{5}Cl_{2} =  C_{6}H_{10}Cl_{4}

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