Calculations Involving Unit Cell Dimensions
CHXII01:THE SOLID STATE

318649 X-ray analysis of Mn-Si alloy with \(75 \%\) by atoms of Mn and \(25 \%\) by atoms of Si showed that the unit cell is cubic and lattice parameter is \({\text{2}}{\text{.86}}\mathop {\text{A}}\limits^{\text{^\circ }} \).
The density of alloy \(=6850 \mathrm{~kg} / \mathrm{m}^{3}\). How many numbers of atoms are present in the unit cell?

1 8
2 6
3 2
4 4
CHXII01:THE SOLID STATE

318650 The number of atoms in \(2.4 \mathrm{~g}\) of body centred cubic crystal with edge length \(200 \mathrm{pm}\) is \(\left(\right.\) density \(=10 \mathrm{~g} \mathrm{~cm}^{-3}, N_{A}=6 \times 10^{23}\) atoms \(/ \mathrm{mol}\) )

1 \(6 \times 10^{22}\)
2 \(6 \times 10^{20}\)
3 \(6 \times 10^{23}\)
4 \(6 \times 10^{19}\)
CHXII01:THE SOLID STATE

318651 The density of solid argon \((\mathrm{Ar}=40 \mathrm{~g} / \mathrm{mol})\) is \(1.68 \mathrm{~g} / \mathrm{mol}\) at \(40 \mathrm{~K}\). If the argon atom is assumed to be a sphere of radius is \(1.50 \times 10^{-8} \mathrm{~cm}\), what \(\%\) of solid Ar is apparently empty space?

1 64.36
2 74
3 35.64
4 None of these
CHXII01:THE SOLID STATE

318652 In orthorhombic, the value of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are respectively \({\rm{4}}{\rm{.2}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \) molecular mass of the solute is \(155 \mathrm{gm} \mathrm{mol}^{-1}\) and that of density is \(3.3 \mathrm{gm} / \mathrm{cc}\), the number of formula units per unit cell is

1 6
2 4
3 2
4 3
CHXII01:THE SOLID STATE

318653 Lithium has a bec structure. Its density is \({\rm{530}}\,{\rm{kg}}\,{{\rm{m}}^{{\rm{ - 3}}}}\) and its atomic mass is \({\rm{6}}{\rm{.94}}\,{\rm{g}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}\). Calculate the edge length of a unit cell of lithium metal. \(\left( {{{\rm{N}}_{\rm{A}}}{\rm{ = 6}}{\rm{.02 \times 1}}{{\rm{0}}^{{\rm{23}}}}\,\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 \(264 \mathrm{pm}\)
2 \(154 \mathrm{pm}\)
3 \(352 \mathrm{Pm}\)
4 \(527 \mathrm{pm}\)
CHXII01:THE SOLID STATE

318649 X-ray analysis of Mn-Si alloy with \(75 \%\) by atoms of Mn and \(25 \%\) by atoms of Si showed that the unit cell is cubic and lattice parameter is \({\text{2}}{\text{.86}}\mathop {\text{A}}\limits^{\text{^\circ }} \).
The density of alloy \(=6850 \mathrm{~kg} / \mathrm{m}^{3}\). How many numbers of atoms are present in the unit cell?

1 8
2 6
3 2
4 4
CHXII01:THE SOLID STATE

318650 The number of atoms in \(2.4 \mathrm{~g}\) of body centred cubic crystal with edge length \(200 \mathrm{pm}\) is \(\left(\right.\) density \(=10 \mathrm{~g} \mathrm{~cm}^{-3}, N_{A}=6 \times 10^{23}\) atoms \(/ \mathrm{mol}\) )

1 \(6 \times 10^{22}\)
2 \(6 \times 10^{20}\)
3 \(6 \times 10^{23}\)
4 \(6 \times 10^{19}\)
CHXII01:THE SOLID STATE

318651 The density of solid argon \((\mathrm{Ar}=40 \mathrm{~g} / \mathrm{mol})\) is \(1.68 \mathrm{~g} / \mathrm{mol}\) at \(40 \mathrm{~K}\). If the argon atom is assumed to be a sphere of radius is \(1.50 \times 10^{-8} \mathrm{~cm}\), what \(\%\) of solid Ar is apparently empty space?

1 64.36
2 74
3 35.64
4 None of these
CHXII01:THE SOLID STATE

318652 In orthorhombic, the value of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are respectively \({\rm{4}}{\rm{.2}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \) molecular mass of the solute is \(155 \mathrm{gm} \mathrm{mol}^{-1}\) and that of density is \(3.3 \mathrm{gm} / \mathrm{cc}\), the number of formula units per unit cell is

1 6
2 4
3 2
4 3
CHXII01:THE SOLID STATE

318653 Lithium has a bec structure. Its density is \({\rm{530}}\,{\rm{kg}}\,{{\rm{m}}^{{\rm{ - 3}}}}\) and its atomic mass is \({\rm{6}}{\rm{.94}}\,{\rm{g}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}\). Calculate the edge length of a unit cell of lithium metal. \(\left( {{{\rm{N}}_{\rm{A}}}{\rm{ = 6}}{\rm{.02 \times 1}}{{\rm{0}}^{{\rm{23}}}}\,\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 \(264 \mathrm{pm}\)
2 \(154 \mathrm{pm}\)
3 \(352 \mathrm{Pm}\)
4 \(527 \mathrm{pm}\)
CHXII01:THE SOLID STATE

318649 X-ray analysis of Mn-Si alloy with \(75 \%\) by atoms of Mn and \(25 \%\) by atoms of Si showed that the unit cell is cubic and lattice parameter is \({\text{2}}{\text{.86}}\mathop {\text{A}}\limits^{\text{^\circ }} \).
The density of alloy \(=6850 \mathrm{~kg} / \mathrm{m}^{3}\). How many numbers of atoms are present in the unit cell?

1 8
2 6
3 2
4 4
CHXII01:THE SOLID STATE

318650 The number of atoms in \(2.4 \mathrm{~g}\) of body centred cubic crystal with edge length \(200 \mathrm{pm}\) is \(\left(\right.\) density \(=10 \mathrm{~g} \mathrm{~cm}^{-3}, N_{A}=6 \times 10^{23}\) atoms \(/ \mathrm{mol}\) )

1 \(6 \times 10^{22}\)
2 \(6 \times 10^{20}\)
3 \(6 \times 10^{23}\)
4 \(6 \times 10^{19}\)
CHXII01:THE SOLID STATE

318651 The density of solid argon \((\mathrm{Ar}=40 \mathrm{~g} / \mathrm{mol})\) is \(1.68 \mathrm{~g} / \mathrm{mol}\) at \(40 \mathrm{~K}\). If the argon atom is assumed to be a sphere of radius is \(1.50 \times 10^{-8} \mathrm{~cm}\), what \(\%\) of solid Ar is apparently empty space?

1 64.36
2 74
3 35.64
4 None of these
CHXII01:THE SOLID STATE

318652 In orthorhombic, the value of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are respectively \({\rm{4}}{\rm{.2}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \) molecular mass of the solute is \(155 \mathrm{gm} \mathrm{mol}^{-1}\) and that of density is \(3.3 \mathrm{gm} / \mathrm{cc}\), the number of formula units per unit cell is

1 6
2 4
3 2
4 3
CHXII01:THE SOLID STATE

318653 Lithium has a bec structure. Its density is \({\rm{530}}\,{\rm{kg}}\,{{\rm{m}}^{{\rm{ - 3}}}}\) and its atomic mass is \({\rm{6}}{\rm{.94}}\,{\rm{g}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}\). Calculate the edge length of a unit cell of lithium metal. \(\left( {{{\rm{N}}_{\rm{A}}}{\rm{ = 6}}{\rm{.02 \times 1}}{{\rm{0}}^{{\rm{23}}}}\,\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 \(264 \mathrm{pm}\)
2 \(154 \mathrm{pm}\)
3 \(352 \mathrm{Pm}\)
4 \(527 \mathrm{pm}\)
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CHXII01:THE SOLID STATE

318649 X-ray analysis of Mn-Si alloy with \(75 \%\) by atoms of Mn and \(25 \%\) by atoms of Si showed that the unit cell is cubic and lattice parameter is \({\text{2}}{\text{.86}}\mathop {\text{A}}\limits^{\text{^\circ }} \).
The density of alloy \(=6850 \mathrm{~kg} / \mathrm{m}^{3}\). How many numbers of atoms are present in the unit cell?

1 8
2 6
3 2
4 4
CHXII01:THE SOLID STATE

318650 The number of atoms in \(2.4 \mathrm{~g}\) of body centred cubic crystal with edge length \(200 \mathrm{pm}\) is \(\left(\right.\) density \(=10 \mathrm{~g} \mathrm{~cm}^{-3}, N_{A}=6 \times 10^{23}\) atoms \(/ \mathrm{mol}\) )

1 \(6 \times 10^{22}\)
2 \(6 \times 10^{20}\)
3 \(6 \times 10^{23}\)
4 \(6 \times 10^{19}\)
CHXII01:THE SOLID STATE

318651 The density of solid argon \((\mathrm{Ar}=40 \mathrm{~g} / \mathrm{mol})\) is \(1.68 \mathrm{~g} / \mathrm{mol}\) at \(40 \mathrm{~K}\). If the argon atom is assumed to be a sphere of radius is \(1.50 \times 10^{-8} \mathrm{~cm}\), what \(\%\) of solid Ar is apparently empty space?

1 64.36
2 74
3 35.64
4 None of these
CHXII01:THE SOLID STATE

318652 In orthorhombic, the value of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are respectively \({\rm{4}}{\rm{.2}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \) molecular mass of the solute is \(155 \mathrm{gm} \mathrm{mol}^{-1}\) and that of density is \(3.3 \mathrm{gm} / \mathrm{cc}\), the number of formula units per unit cell is

1 6
2 4
3 2
4 3
CHXII01:THE SOLID STATE

318653 Lithium has a bec structure. Its density is \({\rm{530}}\,{\rm{kg}}\,{{\rm{m}}^{{\rm{ - 3}}}}\) and its atomic mass is \({\rm{6}}{\rm{.94}}\,{\rm{g}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}\). Calculate the edge length of a unit cell of lithium metal. \(\left( {{{\rm{N}}_{\rm{A}}}{\rm{ = 6}}{\rm{.02 \times 1}}{{\rm{0}}^{{\rm{23}}}}\,\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 \(264 \mathrm{pm}\)
2 \(154 \mathrm{pm}\)
3 \(352 \mathrm{Pm}\)
4 \(527 \mathrm{pm}\)
CHXII01:THE SOLID STATE

318649 X-ray analysis of Mn-Si alloy with \(75 \%\) by atoms of Mn and \(25 \%\) by atoms of Si showed that the unit cell is cubic and lattice parameter is \({\text{2}}{\text{.86}}\mathop {\text{A}}\limits^{\text{^\circ }} \).
The density of alloy \(=6850 \mathrm{~kg} / \mathrm{m}^{3}\). How many numbers of atoms are present in the unit cell?

1 8
2 6
3 2
4 4
CHXII01:THE SOLID STATE

318650 The number of atoms in \(2.4 \mathrm{~g}\) of body centred cubic crystal with edge length \(200 \mathrm{pm}\) is \(\left(\right.\) density \(=10 \mathrm{~g} \mathrm{~cm}^{-3}, N_{A}=6 \times 10^{23}\) atoms \(/ \mathrm{mol}\) )

1 \(6 \times 10^{22}\)
2 \(6 \times 10^{20}\)
3 \(6 \times 10^{23}\)
4 \(6 \times 10^{19}\)
CHXII01:THE SOLID STATE

318651 The density of solid argon \((\mathrm{Ar}=40 \mathrm{~g} / \mathrm{mol})\) is \(1.68 \mathrm{~g} / \mathrm{mol}\) at \(40 \mathrm{~K}\). If the argon atom is assumed to be a sphere of radius is \(1.50 \times 10^{-8} \mathrm{~cm}\), what \(\%\) of solid Ar is apparently empty space?

1 64.36
2 74
3 35.64
4 None of these
CHXII01:THE SOLID STATE

318652 In orthorhombic, the value of \(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\) are respectively \({\rm{4}}{\rm{.2}}\mathop {\rm{A}}\limits^{\rm{^\circ }} \) molecular mass of the solute is \(155 \mathrm{gm} \mathrm{mol}^{-1}\) and that of density is \(3.3 \mathrm{gm} / \mathrm{cc}\), the number of formula units per unit cell is

1 6
2 4
3 2
4 3
CHXII01:THE SOLID STATE

318653 Lithium has a bec structure. Its density is \({\rm{530}}\,{\rm{kg}}\,{{\rm{m}}^{{\rm{ - 3}}}}\) and its atomic mass is \({\rm{6}}{\rm{.94}}\,{\rm{g}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}\). Calculate the edge length of a unit cell of lithium metal. \(\left( {{{\rm{N}}_{\rm{A}}}{\rm{ = 6}}{\rm{.02 \times 1}}{{\rm{0}}^{{\rm{23}}}}\,\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}} \right)\)

1 \(264 \mathrm{pm}\)
2 \(154 \mathrm{pm}\)
3 \(352 \mathrm{Pm}\)
4 \(527 \mathrm{pm}\)