How Do You Calculate Work When Compressing Gas?

In summary, the work done by the gas when compressed from 42.1 L to 25.1 L at a constant external pressure of 739 Torr is +1.67 kJ.
  • #1
jybe
41
1

Homework Statement


What is w when a gas is compressed from 42.1 L to 25.1 L using a constant external pressure of 739 Torr? Remember to include a "+" or "−" sign as appropriate.

Homework Equations


W = -P(dV)

The Attempt at a Solution



Pressure = (739 Torr / 760 Torr)*(101.325 kPa)

W = -((739 Torr / 760 Torr)*(101.325 kPa))*(-17 L)

W = +1674.9289 J (by the convention that when the system is compressed, work is positive)

Is this correct?

Also, it says "Enter your answer in acceptable SI units, accurate to 3 significant figures. Use an acceptable SI symbol for units." Would I enter it as 1.68 KJ?
 
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  • #2
jybe said:

Homework Statement


What is w when a gas is compressed from 42.1 L to 25.1 L using a constant external pressure of 739 Torr? Remember to include a "+" or "−" sign as appropriate.

Homework Equations


W = -P(dV)

The Attempt at a Solution



Pressure = (739 Torr / 760 Torr)*(101.325 kPa)

W = -((739 Torr / 760 Torr)*(101.325 kPa))*(-17 L)

W = +1674.9289 J (by the convention that when the system is compressed, work is positive)

Is this correct?

Also, it says "Enter your answer in acceptable SI units, accurate to 3 significant figures. Use an acceptable SI symbol for units." Would I enter it as 1.68 KJ?
To 3 significant figures, you would enter it as 1.67 kJ.
 

Related to How Do You Calculate Work When Compressing Gas?

1. What is compressed gas?

Compressed gas refers to any gas that has been pressurized and stored in a container at a pressure higher than atmospheric pressure. This includes gases such as oxygen, nitrogen, and carbon dioxide.

2. How is compressed gas used in scientific research?

Compressed gas is used in a variety of ways in scientific research, including as a power source for equipment, as a carrier gas for chromatography, and as a reactant in chemical reactions. It is also commonly used in gas cylinders for storage and transportation.

3. What are the safety precautions for working with compressed gas?

Working with compressed gas can be hazardous, so it is important to follow safety precautions. These include using appropriate personal protective equipment, ensuring proper ventilation, and handling and storing gas cylinders carefully. It is also important to be aware of the properties and potential hazards of the specific gas being used.

4. How is compressed gas stored and transported?

Compressed gas is typically stored in high-pressure cylinders made of steel or aluminum. These cylinders are designed to withstand the pressure of the gas and are often color-coded to indicate the type of gas they contain. When transported, compressed gas cylinders must be secured and handled carefully to prevent accidents.

5. How can I dispose of compressed gas safely?

Disposing of compressed gas can be dangerous and should be done in accordance with local regulations. It is important to first release any remaining pressure in the cylinder and then properly label and seal it before taking it to a designated disposal facility. It is not safe to dispose of compressed gas cylinders in regular trash or recycling bins.

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