Page:Zur Thermodynamik bewegter Systeme.djvu/6

 2. The differential of the supplied heated.

is increased (as the energy increase) by the performed work of the considered body, thus

$dQ = dU + pdv - \beta d\phi$

If we again introduce $$U_{0}, v$$ and $$\beta$$ as independent variables, then it becomes:

If we consider (1), (2) and (6), then it becomes:

$dQ=\frac{\partial H}{\partial U_{0}}dU_{0}+\frac{\partial H}{\partial v}dv+\left(p_{0}\frac{\partial H}{\partial U_{0}}-\frac{\partial H}{\partial v}\right)dv,$|undefined

or

This expression is valid in full generality.

3. The temperature of the moving body.

We first consider a system of bodies, all of them moving with the same constant velocity. Experience tells us that $$dQ/T$$ is then a complete differential. Equation (7) shows that this condition is satisfied, when we put

$$T_0$$ is the integrating denominator of $$dU_{0}+p_{0}dv$$, when we (analogous to the preceding) understand under $$T_0$$ the temperature assumed by the body when it is adiabatically