- #1

j-lee00

- 95

- 0

PV = RT(1+B(T)/V)

[tex]\beta[/tex] = (1/V)*([tex]\frac{dV}{dT}[/tex]) at constant P

show [tex]\beta[/tex] =[tex]\frac{1}{T}[/tex]*[tex]\frac{V + B + T\frac{dB}{dT}}{V + 2B}[/tex]

I got to

[tex]\beta[/tex] =[tex]\frac{PV}{VRT+PRTB}[/tex]*([tex]\frac{R}{P}[/tex]+[tex]\frac{d}{dT}[/tex][tex]\frac{RTB}{V}[/tex])

I need help with [tex]\frac{d}{dT}[/tex][tex]\frac{RTB}{V}[/tex])

I don't know the latex format for pd

[tex]\beta[/tex] = (1/V)*([tex]\frac{dV}{dT}[/tex]) at constant P

show [tex]\beta[/tex] =[tex]\frac{1}{T}[/tex]*[tex]\frac{V + B + T\frac{dB}{dT}}{V + 2B}[/tex]

I got to

[tex]\beta[/tex] =[tex]\frac{PV}{VRT+PRTB}[/tex]*([tex]\frac{R}{P}[/tex]+[tex]\frac{d}{dT}[/tex][tex]\frac{RTB}{V}[/tex])

I need help with [tex]\frac{d}{dT}[/tex][tex]\frac{RTB}{V}[/tex])

I don't know the latex format for pd

Last edited: