A copper complex crystallizing in a CCP lattice with a cell edge of 0.4518 nm has been revelaed by employing X-ray diffraction studies. The density of a copper complex is found to be 7.26 g cm^-3. The molar mass of copper complex is___________ g mol^-1. (Nearest integer)

[Given : N_A = 6.022 × 10²³ mol^-1]

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alok kumar singh | Contributor-Level 10

3 months ago

Density, $ρ = 7.62 g c m^{- 3}$

Cell edge, a = 0.4518nm = 0.458 × 10^-7 cm

Effective number of atoms, Z = 4 for CCP.

Using ; $ρ = \frac{Z \times A}{N_{A} \times a^{3}}$

$ρ = \frac{4 \times A}{6.022 \times 1 0^{23} \times {(0.458 \times 1 0^{- 7})}^{3}}$

$7.62 = \frac{4 \times A}{6.022 \times {(0.4518)}^{3} \times 1 0^{2}}$

A = 105.79 g/mol

Ans. is 106 (the nearest integers)

Density, <math> <mrow> <mi>ρ</mi> <mo>=</mo> <mn>7</mn> <mo>.</mo> <mn>6</mn> <mn>2</mn> <mi>g</mi> <mi>c</mi> <msup> <mrow> <mi>m</mi> </mrow> <mrow> <mo>−</mo> <mn>3</mn> </mrow> </msup> </mrow> </math>  <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1025" DrawAspect="Content" ObjectID="_1816178994"> </o:OLEObject></xml><! [endif]->Cell edge, a = 0.4518nm = 0.458 × 10-7 cmEffective number of atoms, Z = 4 for CCP.Using ; <math> <mrow> <mi>ρ</mi> <mo>=</mo> <mfrac> <mrow> <mi>Z</mi> <mo>×</mo> <mi>A</mi> </mrow> <mrow> <msub> <mrow> <mi>N</mi> </mrow> <mrow> <mi>A</mi> </mrow> </msub> <mo>×</mo> <msup> <mrow> <mi>a</mi> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </math>  <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1026" DrawAspect="Content" ObjectID="_1816178995"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mi>ρ</mi> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <mo>×</mo> <mi>A</mi> </mrow> <mrow> <mn>6</mn> <mo>.</mo> <mn>0</mn> <mn>2</mn> <mn>2</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>2</mn> <mn>3</mn> </mrow> </msup> <mo>×</mo> <msup> <mrow> <mrow> <mo> (</mo> <mrow> <mn>0</mn> <mo>.</mo> <mn>4</mn> <mn>5</mn> <mn>8</mn> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mo>−</mo> <mn>7</mn> </mrow> </msup> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>3</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </math>              <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1027" DrawAspect="Content" ObjectID="_1816178996"> </o:OLEObject></xml><! [endif]-> <math> <mrow> <mn>7</mn> <mo>.</mo> <mn>6</mn> <mn>2</mn> <mo>=</mo> <mfrac> <mrow> <mn>4</mn> <mo>×</mo> <mi>A</mi> </mrow> <mrow> <mn>6</mn> <mo>.</mo> <mn>0</mn> <mn>2</mn> <mn>2</mn> <mo>×</mo> <msup> <mrow> <mrow> <mo> (</mo> <mrow> <mn>0</mn> <mo>.</mo> <mn>4</mn> <mn>5</mn> <mn>1</mn> <mn>8</mn> </mrow> <mo>)</mo> </mrow> </mrow> <mrow> <mn>3</mn> </mrow> </msup> <mo>×</mo> <mn>1</mn> <msup> <mrow> <mn>0</mn> </mrow> <mrow> <mn>2</mn> </mrow> </msup> </mrow> </mfrac> </mrow> </math>              <!- [if gte mso 9]><xml> <o:OLEObject Type="Embed" ProgID="Equation.DSMT4" ShapeID="_x0000_i1028" DrawAspect="Content" ObjectID="_1816178997"> </o:OLEObject></xml><! [endif]->A = 105.79 g/molAns. is 106 (the nearest integers)

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