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If V₀ is the volume of a standard unit cell of germanium crystal containing N₀ atoms, then the expression for the mass m of a volume V in terms of V₀, N₀, M_ mol and N_A is [here, M is the molar mass of germanium and N_A is the Avogadro's constant]

Options

  1. AM V V₀ N_A N₀
  2. BN_ A N₀ V₀ V M
  3. CM V V₀ N₀ N_A
  4. DM V₀ V N₀ N_A

Correct answer

C. M V V₀ N₀ N_A

Step-by-step solution

Number of unit cells in volume V = Total volume Volume of a unit cell = V V₀ Number of atoms in volume V= Number of unit cells Number of atoms in 1 unit cell = V V₀ N₀ Number of moles in volume V = Number of a toms Avagadro number = V V₀ N₀ N_A Mass n of given sample volume = Number of moles Molar mass m= V V₀ N₀ N_A M

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