Q.
An element crystallises as face centred cubic lattice with density as 5.20 g / cm3 and edge length of the side of unit cell as 300 pm. The mass of the element which contains 3.0×1024 cannot be equal to
see full answer
Want to Fund your own JEE / NEET / Foundation preparation ??
Take the SCORE scholarship exam from home and compete for scholarships worth ₹1 crore!*
An Intiative by Sri Chaitanya
a
55g
b
105g
c
205g
d
275g
answer is A.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Z = 4 in fcc lattice M = ?. d = 5.20 g / cm3a = 300, pm = 300 × 10-12. m = 3 × 10-10. m = 3 × 10-6 cm3∴ a3=27×10−24 cm3N0=6.02×1023∴ M=dN0a3Z=5.20 g/cm3×6.02×1023 mol−1×27×10−24 cm34= 21.13 g mol-1Thus, 6.02×1023 atmos have = 21.13 g∴ 3.01×1024 atoms have = 21.136.02×1023×3.01×1024 g=105.65 g
Watch 3-min video & get full concept clarity