if the pressure read by the barometer is 0.882atm, what is the height of the column of mercury in cm?

well, since 1 atm = 760 mm Hg, what do you think?

Be careful with the units.

To determine the height of the column of mercury in centimeters, we need to utilize the relationship between pressure and the height of the column in a barometer. This relationship is given by the equation:

Pressure = ρ * g * h,

where:
- Pressure is the pressure exerted by the column of mercury (0.882 atm in this case),
- ρ is the density of mercury (13.6 g/cm³),
- g is the acceleration due to gravity (9.8 m/s²),
- h is the height of the column of mercury in meters.

First, let's convert the pressure from atm to mmHg (millimeters of mercury) because the density of mercury is typically given in g/cm³ and the relationship equation uses mmHg as the unit for pressure.

1 atm = 760 mmHg,

so 0.882 atm = 0.882 * 760 mmHg ≈ 670.32 mmHg.

Now, let's solve the equation for h:

670.32 mmHg = 13.6 g/cm³ * 9.8 m/s² * h.

To cancel out the units and convert mmHg to cm, we need to divide both sides of the equation by (13.6 g/cm³ * 9.8 m/s²):

(670.32 mmHg) / (13.6 g/cm³ * 9.8 m/s²) = h.

Calculating this, we get:

h ≈ 4.87 cm.

Therefore, the height of the column of mercury in this barometer reading is approximately 4.87 centimeters.