Chat with tutor

Ask Questions, Get Answers


A plant virus is found to consists of uniform cylindrical particles of $150 A^{\circ}$ in diameter and $5000\;A^{\circ}$ long. The specific volume of the virus is $0.75\;cm^3/g$ If the virus is considered to be a single particle , find its molar mass.

$(a)\;7.09 \times 10^8\;g \\ (b)\;7.09 \times 10^7\;g \\(c)\;6.09 \times 10^7\;g \\(d)\;7.09 \times 10^6 \;g $

1 Answer

Since the virus is cylinder so the volume of virus $=\pi r^2 l$
$\qquad= \large\frac{22}{7} \times \bigg( \large\frac{150}{2} \bigg)^2 $$ \times 10^{-6} \times 5000 \times 10^{-8}$
$\qquad= 0.884 \times 10^{-16}\;cm^3$
weight of one virus $= \large\frac{0.884 \times 10^{-16}}{0.75}$$g$
$\qquad= 1.178 \times 10^{-16}$
Hence gram molecular weight of virus = Weight of No virus.
= Weight of $6.023 \times 10^{23}\;virus$
$\qquad= 1.178 \times 10^{-16} \times 6.023 \times 10^{23}\;g$
$\qquad= 7.09 \times 10^{7}\;g$
Molecular weight of virus $=7.09 \times 10^7\;g$
Hence b is the correct answer.
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.