Mass of the mercury in the thermometer, \(m = 7.8 g\)

Density of the mercury, \(\rho = 13.6 g/mL\)

To find:

The volume of mercury spilled, \(V\)

Solution:

The formula for density is given as:

$$\rho = m/V$$

Where,

\(m\) is the mass of the substance,

\(V\) is the volume of the substance, and

\(\rho\) is the density of the substance.

We can use this formula to find the volume of mercury that spilled as follows:

$$V = m/\rho$$

Substituting the given values, we get:

$$V = 7.8 g / 13.6 g/mL$$

$$V = 0.573 mL$$

Therefore, the volume of mercury spilled is 0.573 mL.