Answer to Question #141409 in Molecular Physics | Thermodynamics for matome

Question

A 100 liter water tank is filled to the brim with water when the temperature is 5.00°C. Water has a coefficient of volume expansion of 207 × 10−6/°C. If the temperature of the water tank is increased to 60.0°C, what is the volume of water that overflows the tank (ignore the expansion of the tank)?

Answer 1

Coefficient of volume expansion:

$\beta = \frac{1}{V}\frac{\Delta V}{\Delta T}$ (1)

where $V$is a volume of water tank, $\Delta V$ - the volume of water that overflows the tank.

$\Delta T=\Delta t=t_2-t_1$ is the change (increase) of the temperature.

From the equation (1) we have:

$\Delta V=\beta (t_2-t_1)V$

Then you can substitute numbers from the condition of the problem.

Good luck!)