Answer: The mass of the piston is 16.2 kg.Weight of a Piston: 16.2 kg

In summary, the vertical cylindrical tank contains 1.80 mol of an ideal gas under a pressure of 1.05 atm at 22.0^\circ C. The piston supporting the gas has a mass of approximately 16.2 kg. The pressure of the gas in the cylinder is determined by the ideal gas law and the weight of the piston contributes to the overall force.
  • #1
james brug
34
0

Homework Statement



A vertical cylindrical tank contains 1.80 mol of an ideal gas under a pressure of 1.05 atm at 22.0[tex]^\circ[/tex] C. The round part of the tank has a radius of 10.0 cm , and the gas is supporting a piston that can move up and down in the cylinder without friction.

What is the mass of this piston?

Homework Equations



pV=nRT

The Attempt at a Solution



[tex].05*1 \; atm*.01\pi \: m^2/9.8 \approx 16.2 kg [/tex]
 
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  • #2
james brug said:

Homework Statement



A vertical cylindrical tank contains 1.80 mol of an ideal gas under a pressure of 1.05 atm at 22.0[tex]^\circ[/tex] C. The round part of the tank has a radius of 10.0 cm , and the gas is supporting a piston that can move up and down in the cylinder without friction.

What is the mass of this piston?

Homework Equations



pV=nRT

The Attempt at a Solution



[tex].05*1 \; atm*.01\pi \: m^2/9.8 \approx 16.2 kg [/tex]
What determines the pressure of the gas in the cylinder? How much of that force (per unit area) is due to the weight of the pistion?

AM
 
  • #3


I would like to clarify that the given information is not enough to accurately determine the mass of the piston. The ideal gas law, pV=nRT, can only be used to calculate the mass of the gas inside the tank, not the mass of the piston. The mass of the piston depends on its material and dimensions, which are not provided in the given information. Therefore, the mass of the piston cannot be accurately determined with the given information.
 

1. What is the significance of a piston's mass in an engine?

The mass of a piston is important because it affects the engine's overall performance. A heavier piston may result in slower acceleration, while a lighter piston may result in faster acceleration but less power. It is important for engineers to carefully consider the mass of the piston when designing an engine.

2. How is the mass of a piston measured?

The mass of a piston is typically measured in kilograms (kg) using a scale or balance. The piston is weighed without any other components attached to it, such as rings or connecting rods.

3. Can the mass of a piston be changed?

Yes, the mass of a piston can be changed by altering its design and material composition. For example, using lighter materials such as aluminum instead of steel can reduce the mass of a piston.

4. Does the mass of a piston affect fuel efficiency?

Yes, the mass of a piston can impact fuel efficiency. A heavier piston may require more fuel to move, resulting in lower fuel efficiency. On the other hand, a lighter piston may improve fuel efficiency by reducing the engine's overall weight.

5. How does the mass of a piston affect engine noise?

The mass of a piston can have a small impact on engine noise. A lighter piston may result in slightly louder engine noise due to faster acceleration, while a heavier piston may produce less noise. However, other factors such as engine design and exhaust systems have a larger influence on engine noise.

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