Engineering Thermal expansion coefficient calculation — where is my mistake?

[ReuvenD10]

Homework Statement

Get values of thermal expansion coefficient

Relevant Equations

below

Hello everyone,
Once I got through the VDW state equation I came to the expression of the thermal expansion coefficient. When I place the values I get an illogical answer. Is there a problem with the units? (Please ignore the values)

Thanks.

This is the unit equation I get to and get stuck:

 

[mjc123]

You need to use a value of v in m³/mol.

 

[Lnewqban]

Homework Statement:: Get values of thermal expansion coefficient
Relevant Equations:: below

Hello everyone,
Once I got through the VDW state equation I came to the expression of the thermal expansion coefficient. When I place the values I get an illogical answer. Is there a problem with the units? (Please ignore the values)

Thanks.

View attachment 276808

This is the unit equation I get to and get stuck:
View attachment 276807

That specific volume ($m^3/Kg$) would be compatible to be used in the members of summation of the denominator of that equation only if multiplied by the molar mass of the specific substance ($Kg/mol$); therefore, the units of v should be expressed in $m^3/mol$, rather than $m^3/Kg$.
The units of each member of summation of the denominator would then be Joule/mol.

 

[ReuvenD10]

thanks. it work.