99 Percentile Qs Bank for JEE MainPhysicsUnits and Dimensions
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
- AM V V₀ N_A N₀
- BN_ A N₀ V₀ V M
- CM V V₀ N₀ N_A
- 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