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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