Chat with tutor

Ask Questions, Get Answers


A metallic element has a cubic lattice .Each edge of the unit cell is $2A^{\large\circ}$.The density of the metal is $2.5gcm^{-3}$.The unit cells in 200g of the metal are ?

$\begin{array}{1 1}1\times 10^{25}\\2\times 10^{15}\\3\times 10^{25}\\4\times 10^{25}\end{array} $

1 Answer

Edge length of the unit cell =$2A^{\large\circ}=2\times 10^{-8}cm$
Volume of the unit cell =$(2\times 10^{-8})^3cm^3$
$\Rightarrow 8\times 10^{-24}cm^3$
Mass of the unit cell =Volume $\times$ density
$\Rightarrow 8\times 10^{-24}\times 2.5g$
No. of unit cells in 200g of the metal =$\large\frac{\text{Mass of meta}}{\text{Mass of unit cell}}$
$\Rightarrow \large\frac{200}{8\times 10^{-24}\times 2.5}$
$\Rightarrow 1\times 10^{25}$
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.