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Fundamentals Of Physics
Found in: Page 408

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Short Answer

To suck lemonade of density 1000kg/m3 up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Gauge pressure produced in the lungs in atmospheric unit is -3.9×103 atm

See the step by step solution

Step by Step Solution

Step 1: The given data

Maximum height, h=4cm or 0.04m

Density of lemonade, ρ=1000kg/m3

Acceleration due to gravity, g=9.8m/s2

Step 2: Understanding the concept of pressure

To find gauge pressure in the atm, we can use the formula for pressure in terms of density, acceleration due to gravity, and height. Using the conversion factor, we can convert the pressure into atmospheric pressure.


Pressure applied on a body, p=ρgh

Step 3: Calculation of gauge pressure in atm

The pressure produced in the lungs in SI unit using equation (i) can be given as follows:


=-392 Pa

role="math" localid="1657535402885" =392Pa×1atm1.01×105Pa (1 atm=1.01×105 Pa)

=-3.9×10-3 atm

So, the pressure value is -3.9×10-3 atm

Negative sign indicates that the pressure inside the lung is less than the outside pressure.

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