# Question on expansion and Compression of gas?

• PRAJOL
In summary, the conversation discusses a gas undergoing sudden changes in pressure and volume at constant temperature. The final volume, work done, heat, and change in internal energy are all dependent on Boyle's law. The process being isothermal means that the change in internal energy is zero, and the work done can be calculated using the formula w=p*ΔV. When the pressure is increased back to initial conditions, the same formula applies for finding the work done and heat. The change in internal energy is again zero due to the isothermal process.
PRAJOL

## Homework Statement

If a pressure of gas is suddenly reduced and we let the gas to expand again until it reaches equilibrium. What is final volume, work done and heat in this process? and what would be change in internal energy?
Again the pressure is suddenly increased back to initial pressure and gas is compressed to initial volume. What would be work done heat and change in internal energy?
Temperature is same throughout all process

PV=nRT
ΔU=q+w
w=p*ΔV

## The Attempt at a Solution

Here All the process is done at isothermal condition so Boyles law apply
P1V1=P2V2

where V2 is volume after the gas comes to equilibrium, so,
V2=P1V1/P2

since the process is carried in isothermal condition
ΔU=0

w=p*ΔV

0=q+p*ΔV -------> q=-p*ΔV

Now when the pressure is increased back to initial condition

ΔU=0 ( since process is still isothermal)
ΔU=q+p*ΔV ---------> q=-p*ΔV, here change in volume is volume after decreasing pressure - initial volume

I am not sure if I am correct or not? Help

Can anyone help me with this problem?

## 1. What is the difference between expansion and compression of gas?

The expansion of a gas refers to an increase in its volume, while compression refers to a decrease in volume. This change in volume is caused by changes in pressure and temperature.

## 2. What are some real-life examples of gas expansion and compression?

An example of gas expansion is when a balloon is filled with air and expands as it is filled. An example of gas compression is when an air pump is used to compress air in a tire.

## 3. How do temperature and pressure affect gas expansion and compression?

In general, an increase in temperature will cause a gas to expand, while a decrease in temperature will cause it to compress. Similarly, an increase in pressure will cause a gas to compress, while a decrease in pressure will cause it to expand.

## 4. What is the relationship between volume and pressure in gas expansion and compression?

According to Boyle's law, the volume of a gas is inversely proportional to its pressure, meaning that as pressure increases, volume decreases and vice versa. This relationship is important in understanding gas expansion and compression.

## 5. How do gas laws relate to the expansion and compression of gas?

Gas laws, such as Boyle's law and Charles's law, describe the relationship between temperature, pressure, and volume in gas systems. These laws help us understand and predict how gases will behave when they are expanded or compressed.

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