CBSE Class 12-science Answered
Show that 74% space is occupied in case of face centered cube.
Asked by Topperlearning User | 16 Jun, 2016, 03:38: PM
Expert Answer
In the face diagonal three spheres touch each other.
In Δ ABC Using the Pythagorean Theorem...
AC2 =b2 =BC2 + AB2
=a2 + a2 = 2a2 or
b =√2a
If r is the radius of the sphere,
b = 4r = √2a
or a = 4r/√2 = 2√2r
volume of the cube is a3 or (2√2r)3.
Packing efficiency = Volume occupied by four spheres in the unit cell x 100 / Total volume of the unit cell. %
= 4x(4/3)pr3 x 100/(2√2r)3 %
= (16/3) p r3x100 /16√2r3 %
=74%.
Answered by | 16 Jun, 2016, 05:38: PM
Concept Videos
CBSE 12-science - Chemistry
Asked by rasmimajhi07 | 21 Nov, 2023, 10:22: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by pradeepkumar70258 | 04 Oct, 2023, 10:30: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by akash9322793205 | 12 Aug, 2021, 09:30: AM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by thakurranjan54 | 08 Feb, 2021, 06:32: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by sildasholly2002 | 26 Jul, 2020, 06:37: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by tejuaaygole | 11 Jul, 2020, 10:40: AM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by chandlerbong164 | 12 Apr, 2020, 07:22: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by mangeshkale423 | 25 Feb, 2020, 05:12: PM
ANSWERED BY EXPERT
CBSE 12-science - Chemistry
Asked by upasana.sobti | 16 Jan, 2019, 01:59: PM
ANSWERED BY EXPERT