Chapter 14: Qn 1 (page 408)

Question: To suck lemonade of density 1000 kg/m³up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Short Answer

Expert verified

Answer :

Gauge pressure produced in the lungs in atmospheric unit is $- 3.9 \times 10^{- 3} a t m$

Step by step solution

The given data

Maximum height, $h = 4 c m o r 0.04 m$

Density of lemonade, $p = 1000 k g / m^{3}$

Acceleration due to gravity, $g = 9.8 m / s^{2}$

Understanding the concept of pressure

To find gauge pressure in theatm, 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 atmosphericpressure.

Formula:

Pressure applied on a body, $p = p g h$ (i)

Calculation of gauge pressure in atm

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

p = - 1000 k g / m^{3} \times 0.04 m \times 9.8 m / s^{2} = - 392 p a = - 392 p a \times \frac{1 a t m}{1.01 \times 10^{5} p a} (a t m = 1.01 \times 10^{5} p a) = - 3.9 \times 10^{- 3} a t m

So, the pressure value is $- 3.9 \times 10^{- 3} a t m$

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

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Question: To suck lemonade of density 1000 kg/m³up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Short Answer

Step by step solution

The given data

Understanding the concept of pressure

Calculation of gauge pressure in atm

One App. One Place for Learning.

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Question: To suck lemonade of density 1000 kg/m3up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?

Short Answer

Step by step solution

The given data

Understanding the concept of pressure

Calculation of gauge pressure in atm

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Magnetism

Electric Charge Field and Potential

Conservation of Energy and Momentum

Rotational Dynamics

Radiation

Study anywhere. Anytime. Across all devices.

Question: To suck lemonade of density 1000 kg/m³up a straw to a maximum height of 4.0 cm, what minimum gauge pressure (in atmospheres) must you produce in your lungs?