It's a gas: derivation of virial equation constants for the van der Waals gas

00:08 Introduction
00:30 Van der Waals equation
00:55 Virial equation (to third order)
01:30 Set values of pressure (p) equal
02:44 Multiply each side by Vₘ³
03:36 Multiply each side by (Vₘ - b)
04:19 Expand using distributive law
05:42 Cancel common terms on each side
05:40 Equate coefficients of terms of Vₘ² on each side
06:24 Equate coefficients of terms of Vₘ on each side
06:38 Factor out RT term
08:05 Solve for virial constant B
08:47 Factor out RT term from second equation
10:12 Solve for virial constant C
Derivation of the virial constants B(T) and C(T) for a gas obeying the van der Waals equation of state.
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[@stivenap156]

This video saved my life

[@lseinjr1]

(For mobile users) 00:08 Introduction 00:30 Van der Waals equation 00:55 Virial equation (to third order) 01:30 Set values of pressure (p) equal 02:44 Multiply each side by Vₘ³ 03:36 Multiply each side by (Vₘ - b) 04:19 Expand using distributive law 05:42 Cancel common terms on each side 05:40 Equate coefficients of terms of Vₘ² on each side 06:24 Equate coefficients of terms of Vₘ on each side 06:38 Factor out RT term 08:05 Solve for virial constant B 08:47 Factor out RT term from second equation 10:12 Solve for virial constant C

[@mbsemijoias4884]

Me ajudou bastante.

[@조민재학부재학환경생]

What a Wonderful Video. thx for share sir!

[@theresia6712]

thank you 😭😭

[@na-chan163]

wow good thing I stumbled upon this vid. Thanks!

[@shivagnichaya4296]

Thank you sir ! You have explained it so well.

[@lseinjr1]

Most welcome!

[@FabGamer]

Thank you so much sir

[@ivandrevanheerden7653]

Thank you :)

[@บ๊วย-ค4ซ]

Thank you so much sir 😭

[@bertrantkammegne1962]

Thanks sir.it was a great explanation

[@lseinjr1]

Glad you liked it

[@kusumsancheti746]

Thanks!

[@satyambalyan4297]

Sir I want to ask that why the first ratio with constant A is constant

[@lseinjr1]

IIRC, there is not an "A" in the video. Are you asking why the virial coefficients start at "B"? Within the virial equation, the (unwritten) first virial constant is equal to 1 since that is the case of perfect agreement with the ideal gas law.

[@ravishkumar4927]

thnk u man👌👌👌

[@yugalsharma2773]

Thanks Sir

[@taylovessyouu]

How can you get Tb?

[@lseinjr1]

You can use the expression for B at 08:38 of the video. Set B equal to zero, and then solve for T. This T is the Boyle temperature Tb.

[@stephenadjei8413]

Simple

[@adityakukreja7700]

Thanks sir.it was a great explanation

[@lseinjr1]

So nice of you