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Standard XII

Chemistry

Density

A molecule, ...

Question

A molecule, $A_{2} B$ (molecular weight $= 166.4$ g/mol) occupies triclinic lattice with $a = 5 ˚ A, b = 8 ˚ A$ and $c = 4 ˚ A$ . If the density of $A_{2} B$ is $5.2$ g cm $^{- 3}$ , the number of molecules present in one unit cell is__________.

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Solution

The correct option is B $3$
$d e n s i t y = \frac{z M}{N_{A} \times a b c \times 10^{- 24}}$
$5.2 = \frac{z \times 166.4}{6 \times 10^{23} \times 5 \times 8 \times 4 \times 10^{- 24}}$
$z = 3$

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Similar questions

Q. A molecule

A_{2} B

(molar mass = 166.4) occupies a triclinic lattice with a =

5 \circ A

, b =

8 \circ A

, and c =

4 \circ A

. If the density of

A_{2} B

is 5.2

g c m^{- 3}

, the number of molecules present in one unit cell is:
(Take

N_{A} = 6 \times 10^{23}

)

Q. A molecule

A_{2} B

(

M o l . W t = 166.4)

occupies triclinic lattice with a = 5

\circ A

, b = 8

\circ A

and c = 4

\circ A

. If the density of

A_{2} B

5.2 g . c m^{- 3}

, the number of molecules present in one unit cell is:

Q. A molecule

A_{2} B

(

M o l . W t = 166.4)

occupies triclinic lattice with a = 5

\circ A

, b = 8

\circ A

and c = 4

\circ A

. If the density of

A_{2} B

5.2 g . c m^{- 3}

, the number of molecules present in one unit cell is:

A_{2} B

molecules (molar mass =259.8 g/mol) crystallises in a hexagonal lattice as shown in figure. The lattice constants were

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. If density of crystal is 5

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then how many molecules are contained in given unit cell? (use

N_{A} = 6 \times 10^{23}

)

A_{2} B

molecules (molar mass

= 259.8

g/mol ) crystallizes in a hexagonal lattice.The lattice constants are

a = 5

˚ A

and

b = 8

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A molecule, A2B (molecular weight =166.4 g/mol) occupies triclinic lattice with a=5 ˚A,b=8 ˚A and c=4 ˚A. If the density of A2B is 5.2 g cm−3, the number of molecules present in one unit cell is__________.

The correct option is B 3density=zMNA×abc×10−245.2=z×166.46×1023×5×8×4×10−24z=3

A molecule, $A_{2} B$ (molecular weight $= 166.4$ g/mol) occupies triclinic lattice with $a = 5 ˚ A, b = 8 ˚ A$ and $c = 4 ˚ A$ . If the density of $A_{2} B$ is $5.2$ g cm $^{- 3}$ , the number of molecules present in one unit cell is__________.

The correct option is B $3$
$d e n s i t y = \frac{z M}{N_{A} \times a b c \times 10^{- 24}}$
$5.2 = \frac{z \times 166.4}{6 \times 10^{23} \times 5 \times 8 \times 4 \times 10^{- 24}}$
$z = 3$