Calculations Involving Unit Cell Dimensions
CHXII01:THE SOLID STATE

318662 The number of atoms in \(100 \mathrm{~g}\) of an fcc crystal with density \(d=10 \mathrm{~g} / \mathrm{cm}^{3}\) and cell edge equal to \(100 \mathrm{pm}\) is equal to

1 \(4 \times 10^{25}\)
2 \(3 \times 10^{25}\)
3 \(2 \times 10^{25}\)
4 \(1 \times 10^{25}\)
CHXII01:THE SOLID STATE

318663 The number of atoms in \(100 \mathrm{~g}\) of an FCC crystal with density \(\mathrm{d}=10 \mathrm{~g} \mathrm{~cm}^{-3}\) and cell edge as 200 pm is equal to

1 \(3 \times 10^{25}\)
2 \(0.5 \times 10^{25}\)
3 \(1 \times 10^{25}\)
4 \(2 \times 10^{25}\)
CHXII01:THE SOLID STATE

318664 An element crystallises in fcc type of unit cell.
The volume of one unit cell is \(24.99 \times 10^{-24} \mathrm{~cm}^{3}\) and density of the element \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of unit cells in \(36 \mathrm{~g}\) of pure sample of element is

1 \(2.0 \times 10^{23}\)
2 \(1.25 \times 10^{21}\)
3 \(2.0 \times 10^{21}\)
4 \(2.0 \times 10^{24}\)
CHXII01:THE SOLID STATE

318665 An atom forms face centred cubic crystal with density \({\text{d}} = 8.92\;{\text{g/mL}}\) and edge length \({\text{a}} = 3.6 \times {10^{ - 8}}\;{\text{cm}}\). The molecular mass of atom in amu is

1 98
2 63
3 32
4 93
CHXII01:THE SOLID STATE

318666 Copper (atomic mass \({\mathrm{=63.5 \mathrm{~u}}}\) ) has fcc unit cell structure with edge length of x \( \mathop {\rm{A}}^{\circ} \). The approximate density of copper in \({\mathrm{\mathrm{~g} \mathrm{~cm}^{-3}}}\) is \({\mathrm{\left(\dfrac{\mathrm{y}}{x^{3}}\right)}}\).
Find the value of ' \({\mathrm{y}}\) ' (Avogadro's constant \({\mathrm{=6.0 \times 10^{23}}}\), At.wt. \({\mathrm{\left.\mathrm{Cu}=63.5 \mathrm{~u}\right)}}\)

1 220.5
2 423.33
3 115.25
4 1001.6
CHXII01:THE SOLID STATE

318662 The number of atoms in \(100 \mathrm{~g}\) of an fcc crystal with density \(d=10 \mathrm{~g} / \mathrm{cm}^{3}\) and cell edge equal to \(100 \mathrm{pm}\) is equal to

1 \(4 \times 10^{25}\)
2 \(3 \times 10^{25}\)
3 \(2 \times 10^{25}\)
4 \(1 \times 10^{25}\)
CHXII01:THE SOLID STATE

318663 The number of atoms in \(100 \mathrm{~g}\) of an FCC crystal with density \(\mathrm{d}=10 \mathrm{~g} \mathrm{~cm}^{-3}\) and cell edge as 200 pm is equal to

1 \(3 \times 10^{25}\)
2 \(0.5 \times 10^{25}\)
3 \(1 \times 10^{25}\)
4 \(2 \times 10^{25}\)
CHXII01:THE SOLID STATE

318664 An element crystallises in fcc type of unit cell.
The volume of one unit cell is \(24.99 \times 10^{-24} \mathrm{~cm}^{3}\) and density of the element \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of unit cells in \(36 \mathrm{~g}\) of pure sample of element is

1 \(2.0 \times 10^{23}\)
2 \(1.25 \times 10^{21}\)
3 \(2.0 \times 10^{21}\)
4 \(2.0 \times 10^{24}\)
CHXII01:THE SOLID STATE

318665 An atom forms face centred cubic crystal with density \({\text{d}} = 8.92\;{\text{g/mL}}\) and edge length \({\text{a}} = 3.6 \times {10^{ - 8}}\;{\text{cm}}\). The molecular mass of atom in amu is

1 98
2 63
3 32
4 93
CHXII01:THE SOLID STATE

318666 Copper (atomic mass \({\mathrm{=63.5 \mathrm{~u}}}\) ) has fcc unit cell structure with edge length of x \( \mathop {\rm{A}}^{\circ} \). The approximate density of copper in \({\mathrm{\mathrm{~g} \mathrm{~cm}^{-3}}}\) is \({\mathrm{\left(\dfrac{\mathrm{y}}{x^{3}}\right)}}\).
Find the value of ' \({\mathrm{y}}\) ' (Avogadro's constant \({\mathrm{=6.0 \times 10^{23}}}\), At.wt. \({\mathrm{\left.\mathrm{Cu}=63.5 \mathrm{~u}\right)}}\)

1 220.5
2 423.33
3 115.25
4 1001.6
CHXII01:THE SOLID STATE

318662 The number of atoms in \(100 \mathrm{~g}\) of an fcc crystal with density \(d=10 \mathrm{~g} / \mathrm{cm}^{3}\) and cell edge equal to \(100 \mathrm{pm}\) is equal to

1 \(4 \times 10^{25}\)
2 \(3 \times 10^{25}\)
3 \(2 \times 10^{25}\)
4 \(1 \times 10^{25}\)
CHXII01:THE SOLID STATE

318663 The number of atoms in \(100 \mathrm{~g}\) of an FCC crystal with density \(\mathrm{d}=10 \mathrm{~g} \mathrm{~cm}^{-3}\) and cell edge as 200 pm is equal to

1 \(3 \times 10^{25}\)
2 \(0.5 \times 10^{25}\)
3 \(1 \times 10^{25}\)
4 \(2 \times 10^{25}\)
CHXII01:THE SOLID STATE

318664 An element crystallises in fcc type of unit cell.
The volume of one unit cell is \(24.99 \times 10^{-24} \mathrm{~cm}^{3}\) and density of the element \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of unit cells in \(36 \mathrm{~g}\) of pure sample of element is

1 \(2.0 \times 10^{23}\)
2 \(1.25 \times 10^{21}\)
3 \(2.0 \times 10^{21}\)
4 \(2.0 \times 10^{24}\)
CHXII01:THE SOLID STATE

318665 An atom forms face centred cubic crystal with density \({\text{d}} = 8.92\;{\text{g/mL}}\) and edge length \({\text{a}} = 3.6 \times {10^{ - 8}}\;{\text{cm}}\). The molecular mass of atom in amu is

1 98
2 63
3 32
4 93
CHXII01:THE SOLID STATE

318666 Copper (atomic mass \({\mathrm{=63.5 \mathrm{~u}}}\) ) has fcc unit cell structure with edge length of x \( \mathop {\rm{A}}^{\circ} \). The approximate density of copper in \({\mathrm{\mathrm{~g} \mathrm{~cm}^{-3}}}\) is \({\mathrm{\left(\dfrac{\mathrm{y}}{x^{3}}\right)}}\).
Find the value of ' \({\mathrm{y}}\) ' (Avogadro's constant \({\mathrm{=6.0 \times 10^{23}}}\), At.wt. \({\mathrm{\left.\mathrm{Cu}=63.5 \mathrm{~u}\right)}}\)

1 220.5
2 423.33
3 115.25
4 1001.6
CHXII01:THE SOLID STATE

318662 The number of atoms in \(100 \mathrm{~g}\) of an fcc crystal with density \(d=10 \mathrm{~g} / \mathrm{cm}^{3}\) and cell edge equal to \(100 \mathrm{pm}\) is equal to

1 \(4 \times 10^{25}\)
2 \(3 \times 10^{25}\)
3 \(2 \times 10^{25}\)
4 \(1 \times 10^{25}\)
CHXII01:THE SOLID STATE

318663 The number of atoms in \(100 \mathrm{~g}\) of an FCC crystal with density \(\mathrm{d}=10 \mathrm{~g} \mathrm{~cm}^{-3}\) and cell edge as 200 pm is equal to

1 \(3 \times 10^{25}\)
2 \(0.5 \times 10^{25}\)
3 \(1 \times 10^{25}\)
4 \(2 \times 10^{25}\)
CHXII01:THE SOLID STATE

318664 An element crystallises in fcc type of unit cell.
The volume of one unit cell is \(24.99 \times 10^{-24} \mathrm{~cm}^{3}\) and density of the element \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of unit cells in \(36 \mathrm{~g}\) of pure sample of element is

1 \(2.0 \times 10^{23}\)
2 \(1.25 \times 10^{21}\)
3 \(2.0 \times 10^{21}\)
4 \(2.0 \times 10^{24}\)
CHXII01:THE SOLID STATE

318665 An atom forms face centred cubic crystal with density \({\text{d}} = 8.92\;{\text{g/mL}}\) and edge length \({\text{a}} = 3.6 \times {10^{ - 8}}\;{\text{cm}}\). The molecular mass of atom in amu is

1 98
2 63
3 32
4 93
CHXII01:THE SOLID STATE

318666 Copper (atomic mass \({\mathrm{=63.5 \mathrm{~u}}}\) ) has fcc unit cell structure with edge length of x \( \mathop {\rm{A}}^{\circ} \). The approximate density of copper in \({\mathrm{\mathrm{~g} \mathrm{~cm}^{-3}}}\) is \({\mathrm{\left(\dfrac{\mathrm{y}}{x^{3}}\right)}}\).
Find the value of ' \({\mathrm{y}}\) ' (Avogadro's constant \({\mathrm{=6.0 \times 10^{23}}}\), At.wt. \({\mathrm{\left.\mathrm{Cu}=63.5 \mathrm{~u}\right)}}\)

1 220.5
2 423.33
3 115.25
4 1001.6
CHXII01:THE SOLID STATE

318662 The number of atoms in \(100 \mathrm{~g}\) of an fcc crystal with density \(d=10 \mathrm{~g} / \mathrm{cm}^{3}\) and cell edge equal to \(100 \mathrm{pm}\) is equal to

1 \(4 \times 10^{25}\)
2 \(3 \times 10^{25}\)
3 \(2 \times 10^{25}\)
4 \(1 \times 10^{25}\)
CHXII01:THE SOLID STATE

318663 The number of atoms in \(100 \mathrm{~g}\) of an FCC crystal with density \(\mathrm{d}=10 \mathrm{~g} \mathrm{~cm}^{-3}\) and cell edge as 200 pm is equal to

1 \(3 \times 10^{25}\)
2 \(0.5 \times 10^{25}\)
3 \(1 \times 10^{25}\)
4 \(2 \times 10^{25}\)
CHXII01:THE SOLID STATE

318664 An element crystallises in fcc type of unit cell.
The volume of one unit cell is \(24.99 \times 10^{-24} \mathrm{~cm}^{3}\) and density of the element \(7.2 \mathrm{~g} \mathrm{~cm}^{-3}\). The number of unit cells in \(36 \mathrm{~g}\) of pure sample of element is

1 \(2.0 \times 10^{23}\)
2 \(1.25 \times 10^{21}\)
3 \(2.0 \times 10^{21}\)
4 \(2.0 \times 10^{24}\)
CHXII01:THE SOLID STATE

318665 An atom forms face centred cubic crystal with density \({\text{d}} = 8.92\;{\text{g/mL}}\) and edge length \({\text{a}} = 3.6 \times {10^{ - 8}}\;{\text{cm}}\). The molecular mass of atom in amu is

1 98
2 63
3 32
4 93
CHXII01:THE SOLID STATE

318666 Copper (atomic mass \({\mathrm{=63.5 \mathrm{~u}}}\) ) has fcc unit cell structure with edge length of x \( \mathop {\rm{A}}^{\circ} \). The approximate density of copper in \({\mathrm{\mathrm{~g} \mathrm{~cm}^{-3}}}\) is \({\mathrm{\left(\dfrac{\mathrm{y}}{x^{3}}\right)}}\).
Find the value of ' \({\mathrm{y}}\) ' (Avogadro's constant \({\mathrm{=6.0 \times 10^{23}}}\), At.wt. \({\mathrm{\left.\mathrm{Cu}=63.5 \mathrm{~u}\right)}}\)

1 220.5
2 423.33
3 115.25
4 1001.6