A) \[40\,g\,mo{{l}^{-1}}\]
B) \[30\,g\,mo{{l}^{-1}}\]
C) \[27\,g\,mo{{l}^{-1}}\]
D) \[20\,g\,mo{{l}^{-1}}\]
Correct Answer: C
Solution :
| [c] Given, cell is fee, so Z = 4 |
| Edge length, a = 404 pm = 4.04 x 10-8 cm |
| Density of metal, \[d=2.72\,g\,c{{m}^{-3}}\] |
| \[{{N}_{A}}=6.02\times {{10}^{23}}mo{{l}^{-1}}\] |
| Molar mass of the metal, M = ? |
| We know that density, \[d=\frac{Z\times M}{{{a}^{3}}\cdot {{N}_{A}}}\] |
| \[\therefore \]\[M=\frac{d\cdot {{a}^{3}}\cdot {{N}_{A}}}{Z}\] |
| \[=\frac{2.72\times {{(4.04\times {{10}^{-8}})}^{3}}\times 6.02\times {{10}^{23}}}{4}\] |
| \[=27\,g\,mo{{l}^{-1}}\] |
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