Hi,
I am stuck with the following task
I have developed a Taylor expansion for ##L[\gamma]=\sqrt{c^2-v^2}## up to the third order for the position ##a=0##, for this I have rewritten ##L[\gamma]## as follows:
$$L[\gamma]=\sqrt{c^2-v^2}=c \sqrt{1-\frac{v^2}{c^2}}$$
Then I did the following...
By definition, we have that ##G=H-TS##, which means that ##dG=dU+PdV+VdP-TdS-SdT##, and at constant temperature and pressure, ##dG=dU+PdV-TdS##. As ##dU=TdS-PdV##, I asked my lecturer why ##dG=0## isn't true for all processes at constant temperature and pressure.
He then tells me that there is...