Temperature Variation Coefficient

[Pochon]

Homework Statement

What is the unit of the system-universe temperature variation coefficient?

The system is a container holding a mass of water. T
The universe I guess is the room temperature. T_room
t is time in seconds.
$$\Psi$$ is the temperature variation coefficient.

Homework Equations

$$\Delta$$T / $$\Delta$$t = $$\Psi$$(T - T_room)
$$\Psi$$t = ln ((T_o - T_room) / (T - T_room))

The Attempt at a Solution

Since it is temperature over time I thought that it would be degrees per second? But that is angular velocity so I'm sure that's not it.

 

[Redbelly98]

Degrees that measure temperatures are different than degrees that measure angles. You may consider them to be entirely different units, even though it's the same word.