Series Expansion: PV=RT(1+(B/Vm)+(C/Vm^2) + (D/Vm^3)+...)

[aprovit]

I have to expand an equation into the virial equation form,

PV=RT(1+(B/Vm)+(C/Vm^2) + (D/Vm^3)+...)

using the series expansion formulas (1-x)^(-1) and e^x

I can put the formula into the virial equation form but I don't understand what it means by, using the series expansion formulas (1-x)^(-1) and e^x

 

[royhaas]

Re: Series Expansion

Use \(\displaystyle 1/(1-x)=1+x+x^2+x^3+...\) and \(\displaystyle e^x = 1+x+x^2/2! + x^3/3! + ...\)

 

[aprovit]

Thank you!

 

[Unco]

Re: Series Expansion

Use \(\displaystyle 1/(1-x)=1+x+x^2+x^3+...\)

... provided |x| < 1.