: What is the final temperature of the gas in the cylinder A?

In summary, the final temperature of the gas in cylinder A will remain 250 K due to its isothermal expansion, while the final temperature of the gas in cylinder B will be lower due to its adiabatic expansion. To calculate the final volume of the gas in each cylinder, the ideal gas equation PV=nRT must be used.
  • #1
Bigworldjust
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URGENT: What is the final temperature of the gas in the cylinder A?

Homework Statement



Two cylinders each contain 0.30 mol of a diatomic gas at 250 K and a pressure of 3.0 atm. Cylinder A expands isothermally and cylinder B expands adiabatically until the pressure of each is 1.0 atm.

What is the final temperature of the gas in the cylinder A?

What is the final temperature of the gas in the cylinder B?

What is the final volume of the gas in the cylinder A?

What is the final volume of the gas in the cylinder B?

Homework Equations



PV=nRT


The Attempt at a Solution



I am actually lost at where to start for this question. It is the last question left, and is due in 40 minutes so my brain is starting to malfunction, lol. Any help would be appreciated.
 
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  • #2
The final temperature of the gas in cylinder A will remain 250 K because it is an isothermal expansion. The final temperature of the gas in cylinder B will be lower than 250 K due to the adiabatic expansion. To calculate the final volume of the gas in each cylinder, you will need to use the ideal gas equation PV=nRT.
 

What is the final temperature of the gas in the cylinder A?

The final temperature of the gas in cylinder A will depend on various factors such as the initial temperature, pressure, volume, and the type of gas in the cylinder. It can be calculated using the ideal gas law, which states that the final temperature is directly proportional to the pressure and inversely proportional to the volume.

How does the initial temperature affect the final temperature of the gas?

The initial temperature of the gas in cylinder A will directly affect the final temperature. If the initial temperature is higher, the final temperature will also be higher, and vice versa. This is because a higher initial temperature means the gas particles have more kinetic energy, which results in a higher final temperature after compression.

What happens to the final temperature if the volume of the cylinder is increased?

If the volume of cylinder A is increased, the final temperature of the gas will decrease. This is because the gas molecules have more space to move around, and their collisions with the walls of the cylinder will decrease. As a result, the gas particles will lose some of their kinetic energy, leading to a lower final temperature.

How does the type of gas in the cylinder affect the final temperature?

The type of gas in cylinder A will affect the final temperature because different gases have different molecular structures and masses. This means they will behave differently when compressed. For example, lighter gases will have a higher final temperature compared to heavier gases, as they have higher average speeds and hence more kinetic energy.

Can the final temperature of the gas in cylinder A be lower than the initial temperature?

Yes, the final temperature of the gas in cylinder A can be lower than the initial temperature. This can happen if the gas is compressed and work is done on the gas, resulting in a decrease in its internal energy and hence a lower final temperature. Moreover, if the gas is allowed to expand while doing work, its temperature will decrease due to the decrease in the internal energy.

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