calculate the change of volume from volume expansion coefficientby Outrageous Tags: coefficient, expansion, volume 

#1
Jan213, 08:05 AM

P: 375

β= (1/v)(∂v/∂T)constant pressure.
What is the v represent? molar volume? If I am given the β and the change of temperature, how to calculate the change of volume? or it is not enough information to calculate it? Thank you. 



#2
Jan213, 08:52 AM

P: 2,489

it seems like you have enough if the change is relatively small so that you could use deltas:
beta * delta T * V =delta V You'd have to decide on what relatively small means and you have to know what V is. 



#3
Jan213, 09:15 AM

P: 375

Thank you
Question : a container is filled with mercury at 0 degree Celcius. At temperature 50 degree Celcius , what is the volume of mercury that will spill out ? β Of mercury is 18*10^(5) /Celcius Is this possible to do ? 



#4
Jan213, 10:20 AM

P: 2,489

calculate the change of volume from volume expansion coefficientWhat is the initial volume? 



#5
Jan213, 05:50 PM

P: 375

The initial volume is not given , so that question can't be solved?




#6
Jan213, 08:14 PM

Sci Advisor
HW Helper
Thanks
PF Gold
P: 4,499

[tex]\frac{d\ln{v}}{dt}=\beta[/tex] Integrating, you get: [tex]v=v_0\exp(\beta(T  T_0))[/tex] where v_{0} is the volume at temperature T_{0}. 


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