College

A liquid has a density of 2.1 g/cm³. What height of this liquid will produce the same pressure as 120 mmHg?

Given:
- Density of Hg = 13.6 g/cm³
- Acceleration due to gravity = 980 cm/s²

Choose the correct height:

A. 77.7 cm
B. 98.4 cm
C. 101.2 cm
D. 93.2 cm

Answer :

Final answer:

The height of the liquid that will produce the same pressure as 120 mmHg is approximately 101.2 cm.

Explanation:

To calculate the height of the liquid that will produce the same pressure as 120 mmHg, we can use the formula:

pressure = density * height * acceleration due to gravity

First, we need to convert the density of the liquid from g/cm² to g/cm³. Since density is mass/volume, we can divide the given density by the acceleration due to gravity:

density = 2.1 g/cm² / 980 cm/sec² = 0.002142857 g/cm³

Next, we can rearrange the formula to solve for height:

height = pressure / (density * acceleration due to gravity)

Substituting the given values:

height = 120 mmHg / (0.002142857 g/cm³ * 980 cm/sec²)

height ≈ 101.2 cm

Therefore, the height of the liquid that will produce the same pressure as 120 mmHg is approximately 101.2 cm.

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