How Does Heating Affect the Pressure of an Ideal Gas in a Movable Piston Setup?

In summary, an ideal gas in a cylinder is confined by a piston with a weight of 100 N and an area of 0.65 m2. The pressure above the piston is initially one atmosphere (atm = 1.013x10^5 Pa) and after heat is added, the pressure remains the same due to the piston being fixed in equilibrium. The pressure of the ideal gas can be calculated using the equation P= Patm + W/A.
  • #1
Jgoshorn1
17
0

Homework Statement


An ideal gas in a cylinder occupies a volume of 0.065 m3 at room temperature (T = 293 K). The gas is confined by a piston with a weight of 100 N and an area of 0.65 m2. The pressure above the piston is equal to one atmosphere (atm = 1.013x10^5 Pa). The piston is free to move up and down.
What is the pressure of the ideal gas?
After heat is added (piston moves up), What is the pressure of the ideal gas?


Homework Equations



P= Patm + W/A

The Attempt at a Solution



For the first question, I found the pressure to equal 1.0145x10^5 Pa by using the equation I provided [P=1.013x10^5 + (100/.65)]

Is that right?

For the second question I figured the pressure would be the same because after the heat is added, the piston moves initially and then is again fixed in equilibrium (not moving). If there was a net force caused from a larger internal or external pressure, the piston would continue moving. But, since it is in equilibrium the pressure would stay the same...? The pressure builds up when the temp is increased, but since the piston is pushed up and stops, the volume has been increased resulting in equilibrium.
 
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  • #2
Good logic, your argument is right.

ehild
 

Related to How Does Heating Affect the Pressure of an Ideal Gas in a Movable Piston Setup?

What is kinetic theory?

Kinetic theory is a theory that explains the behavior of particles in a gas based on their motion and collisions. It states that particles in a gas are in constant motion and their kinetic energy is directly proportional to their temperature.

What are the assumptions of kinetic theory?

The assumptions of kinetic theory are:

  • Gas particles are in constant, random motion.
  • Particles have negligible volume compared to the volume of the container.
  • Particles do not interact with each other except through collisions.
  • Collisions between particles are elastic.
  • The average kinetic energy of particles is directly proportional to the temperature.

What is an ideal gas?

An ideal gas is a theoretical gas that follows the assumptions of kinetic theory under all conditions. This means that the gas particles have negligible volume and interact only through elastic collisions. All real gases deviate from ideal behavior to some extent.

What is the ideal gas law?

The ideal gas law is a mathematical equation that describes the relationship between the pressure, volume, temperature, and number of moles of an ideal gas. It is written as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is the absolute temperature.

How does temperature affect the behavior of an ideal gas?

According to kinetic theory, the average kinetic energy of gas particles is directly proportional to the temperature. This means that as the temperature increases, the particles move faster and their collisions become more frequent and energetic. This leads to an increase in pressure and volume of the gas. The relationship between temperature and other properties of an ideal gas is described by the ideal gas law.

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