# Calculate the change of volume from volume expansion coefficient

by Outrageous
Tags: coefficient, expansion, volume
 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: 3,096 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: 3,096
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?
Mentor
P: 5,371
 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.
$$\frac{d\ln{v}}{dt}=\beta$$
$$v=v_0\exp(\beta(T - T_0))$$