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and you have an entropy that's volume |
dependent and the minimum volume is |
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dependent and the minimum volume is |
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dependent and the minimum volume is |
obtained by minimizing this with respect |
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obtained by minimizing this with respect |
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obtained by minimizing this with respect |
to uh the volume okay there's another |
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to uh the volume okay there's another |
align:start position:0% |
to uh the volume okay there's another |
way you can show where thermal expansion |
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way you can show where thermal expansion |
align:start position:0% |
way you can show where thermal expansion |
comes from and here I have to brush up |
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comes from and here I have to brush up |
align:start position:0% |
comes from and here I have to brush up |
my own Thermo again um but essentially |
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my own Thermo again um but essentially |
align:start position:0% |
my own Thermo again um but essentially |
you can show that it comes from the |
align:start position:0% |
you can show that it comes from the |
align:start position:0% |
you can show that it comes from the |
volume dependence that you can get it |
align:start position:0% |
volume dependence that you can get it |
align:start position:0% |
volume dependence that you can get it |
from only this term from the volume |
align:start position:0% |
from only this term from the volume |
align:start position:0% |
from only this term from the volume |
dependence of the entropy because the |
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dependence of the entropy because the |
align:start position:0% |
dependence of the entropy because the |
volume dependence |
align:start position:0% |
volume dependence |
align:start position:0% |
volume dependence |
of the entropy |
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of the entropy |
align:start position:0% |
of the entropy |
here you can use all this beautiful |
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