Chem+Physics: Solving the Piston Puzzle

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    Piston Puzzle
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SUMMARY

The discussion revolves around a chemistry and physics problem involving a piston in a cylinder containing hydrogen and helium gases. At 22°C, the piston is centered, indicating an equal number of molecules of both gases, resulting in a 1:1 ratio. The participant initially questions this ratio but later confirms that the pressures and conditions are equal, validating their understanding. For part (b), the participant realizes that the temperature increase to 59°C will affect the position of the piston, leading to further analysis of the gas laws.

PREREQUISITES
  • Understanding of the Ideal Gas Law (PV = NkT)
  • Basic knowledge of gas behavior under varying temperatures
  • Familiarity with molecular ratios in gas mixtures
  • Concept of pressure equilibrium in closed systems
NEXT STEPS
  • Study the effects of temperature on gas volume and pressure using Charles's Law
  • Learn about molecular weight differences between gases and their impact on behavior
  • Explore the concept of kinetic molecular theory in relation to gas mixtures
  • Investigate real-world applications of gas laws in engineering and physics
USEFUL FOR

This discussion is beneficial for students studying chemistry and physics, particularly those tackling gas laws and molecular behavior in closed systems. It is also useful for educators looking for practical examples to explain these concepts.

prinzessin04
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this is my webassign question for this week but I'm a little confused about the first part...
for part a) shouldn't the ratio just be 1 to 1, since the piston is exactly in the center?? or did i understand that wrong? I'm not all that great at chem especially when it comes to chem and physics together...
:eek:

A cylinder closed at both ends has a piston in between that is free to slide. At 22°C, the piston is exactly in the center when hydrogen gas is in one end and helium in the other.

(a) What is the ratio of the number of hydrogen molecules to the number of helium molecules?


(b) Where will the piston be if the temperature is raised to 59°C?
the choices:
in the same place
0.22 L to the left
0.44 L to the right
0.22 L to the right
0.44 L to the left


for part a) shouldn't the ratio just be 1 to 1, since the piston is exactly in the center?? or did i understand that wrong? I'm not all that great at chem especially when it comes to chem and physics together...
 
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PV=NkT

If the piston is in the center, and it doesn't move, then pressures on both sides are equal. What else must be equal? V? T? N? (yup, yup, yup).

Sometimes it's the simple ones that seem so hard.

Part b) should be easy now.
 
thanks, i just figured the question was trying to trick me like they usually do...
 

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