0 votes
in Chemistry by (54.4k points)
closed by

If a metal with atomic mass 209 crystallizes in a simple cubic lattice what is the edge length of its unit cell. (Given d = 91.5 kg m-3).

1 Answer

+1 vote
by (36.9k points)
selected by
Best answer

As we know,

density 'd' = \(\frac{ƵM}{a^3N_A}\)

a3 = \(\frac{1\times209 g/mol}{6.022\times10^{23}\times91.5 \times 10^3 g/m^3}\)

a3 = 0.3793 x 10-26 m3

a3 = 3.793 x 10-27 m3

a = 1.5595 x 10-9 m

a = 1.56 x 10-9 m

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.