# A thermos bottle containing milk is shaken vigorously

I have a conceptual physical chemistry question here.

A thermos bottle containing milk is shaken vigorously. Consider the milk as the system. Will the temperature rise as a result of the shaking?

My answer to this is $\mathrm{yes}$, but i'm having trouble finding an equation that explains this result.

The best i have is the molecular kinetic energy formula that $$\mathrm{ke_{avg}= \frac{1}{2}mv^2=\frac{3}{2}kT}$$ So a change in kinetic energy is $$\mathrm{\Delta ke = \frac{3}{2} k \Delta T}$$

Is this the right approach?