Chat with tutor

Ask Questions, Get Answers


For one mole of an ideal gas $(\large\frac{\delta P}{\delta T})_V.(\large\frac{\delta V}{\delta T})_P . (\large\frac{\delta V}{\delta T})_T $ is equal to ....


1 Answer

  • The behaviour of gases has been expressed in terms of various gas laws obtained experimentally i.e Boyle's law , Charles law , Pressure-temperature law , Dalton's law of partial pressure , Graham's law of diffusion and Avogadro's hypothesis . Later on Maxwell derived kinetic equation $PV = \large\frac{1}{3}mnu^2$ , theoretically by assuming the concept of molecules and their motion . The term u represents root mean square speed of molecule.
$PV = RT$ for 1 mole of gas
At constant T : $(\large\frac{\delta V}{\delta P})_T = -\large\frac{V}{P}$
At constant V : $(\large\frac{\delta P}{\delta T})_V = \large\frac{R}{V}$
At constant P : $(\large\frac{\delta V}{\delta T})_P = \large\frac{R}{P}$
$\therefore (\large\frac{\delta P}{\delta T})_V.(\large\frac{\delta V}{\delta T})_P . (\large\frac{\delta V}{\delta T})_T = \large\frac{-R^2V}{P^2V} = -\large\frac{R^2}{P^2}$
Hence answer is (A)
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.