Calculate the height in meters of a column of liquid ethanol (d = 0.7893 g/cm³)required to exert the same pressure as 760 mmHg (d = 13.60 g/cm^3). A)1.31 × 10⁴ m B)13.1m C)70.8 m D)0.0708 m E)44.1 m

Question

Quizplus · Accepted Answer

We can use the formula:

P = ρgh

where P is the pressure, ρ is the density, g is the acceleration due to gravity, and h is the height of the column of liquid.

Let's first convert the given pressure to SI units:

760 mmHg = 101.325 kPa

Now we can solve for h:

h = P/(ρg) = (101.325 kPa)/[(13.60 g/cm³)(9.81 m/s²)] ≈ 0.771 m

Therefore, the height of the column of ethanol is approximately 0.771 m or 7.71 × 10⁻¹ m, which is closest to choice B (13.1 m) after rounding to one significant figure.

Calculate the Height in Meters of a Column of Liquid