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Mountain climbers encounter large changes in atmospheric pressure - Leaving Cert Physics - Question c - 2017

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Mountain climbers encounter large changes in atmospheric pressure. (i) Define pressure and state its unit. (ii) Describe an experiment to demonstrate that the atmo... show full transcript

Worked Solution & Example Answer:Mountain climbers encounter large changes in atmospheric pressure - Leaving Cert Physics - Question c - 2017

Step 1

Define pressure and state its unit.

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Answer

Pressure is defined as the force exerted per unit area. Its standard unit is the Pascal (Pa), which is equivalent to one Newton per square meter (N/m²).

Step 2

Describe an experiment to demonstrate that the atmosphere exerts pressure.

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Answer

To demonstrate atmospheric pressure, you can set up a simple experiment using water and a heat source:

  1. Apparatus: Utilize a boiling water setup and a container to cover the boiling water.
  2. Procedure: Boil water in the container and then immediately cover it with a lid.
  3. Observation: As the steam fills the container and cools down, the water level inside will rise, showing that the atmosphere exerts a force against the water surface.

Alternatively, you could use a suction cup to illustrate atmospheric pressure acting on an object.

Step 3

Calculate the volume of the balloon when it reaches the height of Mount Everest.

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Answer

To find the new volume of the balloon at the height of Mount Everest, we can use Boyle's Law, which states that the pressure of a gas times its volume is constant when temperature is constant:

P1V1=P2V2P_1V_1 = P_2V_2

Where:

  • P1P_1 = atmospheric pressure at sea level = 10.1imes10410.1 imes 10^4 Pa
  • V1V_1 = initial volume of the balloon = 2 L = 0.002 m³
  • P2P_2 = atmospheric pressure at Mount Everest = 3.0imes1043.0 imes 10^4 Pa
  • V2V_2 = volume at Mount Everest (unknown)

Rearranging the formula gives:

V2=P1V1P2=(10.1×104)(0.002)3.0×104=0.067m3=67LV_2 = \frac{P_1V_1}{P_2} = \frac{(10.1 \times 10^4) (0.002)}{3.0 \times 10^4} = 0.067 m³ = 67 L

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