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42 votes
42 votes
2. Your friend sits on a 25.0 L kangaroo ball, squishing the ball so that it is only 17.5

L. What is the pressure inside the ball if the outside air pressure is 100 kPa

(kilopascals)?

User Damien Monni
by
2.6k points

1 Answer

22 votes
22 votes

Answer:

143 kPa

Step-by-step explanation:

Step 1: Given data

  • Initial volume (V₁): 25.0 L
  • Initial pressure (P₁): 100 kPa (the ball is at equilibrium with the surroundings so the internal pressure matches the external pressure)
  • Final volume (V₂): 17.5 L
  • Final pressure (P₂): ?

Step 2: Calculate the final pressure of the air inside the ball

Assuming ideal behavior, we can calculate the final pressure using Boyle's law.

P₁ × V₁ = P₂ × V₂

P₂ = P₁ × V₁/V₂ = 100 kPa × 25.0 L/17.5 L = 143 kPa

User Maxdow
by
3.3k points