General Application of Boyle's Law

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SUMMARY

The discussion centers on applying Boyle's Law to a physics problem involving a piston and trapped air. The formula P1V1 = P2V2 is crucial for solving the problem, where P1 and V1 represent the initial pressure and volume, and P2 and V2 represent the final pressure and volume after a mass is removed. The initial conditions include a 120-gram mass and an initial volume of 200 cm³, which expands to 250 cm³ upon removal of the mass. Understanding the relationship between pressure, volume, and mass is essential for determining the mass of the piston.

PREREQUISITES
  • Understanding of Boyle's Law and its formula P1V1 = P2V2
  • Basic knowledge of pressure and volume concepts in physics
  • Ability to manipulate algebraic equations
  • Familiarity with units of measurement, specifically grams and cubic centimeters
NEXT STEPS
  • Study the derivation and applications of Boyle's Law in real-world scenarios
  • Learn how to calculate pressure changes in gases using the ideal gas law
  • Explore the relationship between mass, pressure, and volume in different gas systems
  • Practice solving similar problems involving gas laws and piston mechanics
USEFUL FOR

This discussion is beneficial for high school physics students, educators teaching gas laws, and anyone seeking to understand the practical applications of Boyle's Law in mechanics and thermodynamics.

huzi94
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Hello,
I am Year 10 student and would like to get help on the question below based on Boyle's Law.

A piston with a block of mass 120 grams placed on it traps 200cm³ of air in a container. When the block is removed, the volume becomes 250cm³. Find the mass of the piston.

In the question above i only know that you have to use the formula P1V1=P2V2, but i don't know how to apply it. Please can anyone help?
 
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The formula means that if you have a quantity of gas with pressure P1 and volume V1, and you compress it, or let it expand, and afterwards the pressure and volume are P2 and V2, then
P1V1 = P2V2

you know the volume before and after removing the block. What can you say about the pressure, and how is this related to the mass of the block and the piston.
 

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