Since the atmospheric pressure at the surface of Venus is 93 times the atmospheric pressure at the surface of the Earth, use the given values with Equation 2 to estimate the equivalent depth in the Earth's ocean.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Since the atmospheric pressure at the surface of Venus is 93 times the atmospheric pressure at the surface of the Earth, use the given values with Equation 2 to estimate the equivalent depth in the Earth's ocean.

 

*Using attached figures for calculation*

For Venus, the atmospheric pressure at the surface is much higher than on Earth. We can compare this to depth in the ocean by using the simple equation for
a static fluid that calculates the pressure, P, using the density of the liquid, p (rho), and gravity of the planet, g, and the height (or depth), h. This equation is
given by:
P = pgh
m
kg
By rearranging this expression and using the Earth's gravity (g = 9:807
or meters per second squared), the average density of salt water (p = 1024
or
kilograms per cubic meter), and the pressure at the surface of the Earth (PEarth = 101325
kg
or kg per meter per second squared or Pascals), we can
ms2
calculate the depth in the ocean that produces a pressure equivalent to the surface of Venus. By doing some algebra in the previous equation, we get a new
equation:
h
pg
Transcribed Image Text:For Venus, the atmospheric pressure at the surface is much higher than on Earth. We can compare this to depth in the ocean by using the simple equation for a static fluid that calculates the pressure, P, using the density of the liquid, p (rho), and gravity of the planet, g, and the height (or depth), h. This equation is given by: P = pgh m kg By rearranging this expression and using the Earth's gravity (g = 9:807 or meters per second squared), the average density of salt water (p = 1024 or kilograms per cubic meter), and the pressure at the surface of the Earth (PEarth = 101325 kg or kg per meter per second squared or Pascals), we can ms2 calculate the depth in the ocean that produces a pressure equivalent to the surface of Venus. By doing some algebra in the previous equation, we get a new equation: h pg
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