# Calculate the change of volume from volume expansion coefficient

by Outrageous
Tags: coefficient, expansion, volume
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 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.
 P: 2,928 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.
 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 ?
P: 2,928
Calculate the change of volume from volume expansion coefficient

 Quote by Outrageous 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 ?
What do you think? A delta of 50 degrees is pretty significant.

What is the initial volume?
 P: 375 The initial volume is not given , so that question can't be solved?
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P: 5,172
 Quote by Outrageous 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.
Rewriting your equation:

$$\frac{d\ln{v}}{dt}=\beta$$

Integrating, you get:

$$v=v_0\exp(\beta(T - T_0))$$

where v0 is the volume at temperature T0.

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