# Work from Pressure and Volume Calculator, Formula, Work from Pressure Calculation

## Work from Pressure and Volume Calculator:

Enter the values of pressure, p(Pa) and change in volume, ΔV(m3) to determine the value of work, W(J).

 Enter Pressure: Pa Enter Change in Volume: m3 Result – Work: J

## Work from Pressure and Volume Formula:

Work from Pressure and Volume (W) is a key concept in thermodynamics, relating to the energy transferred due to volume changes against a pressure.

It’s essential in contexts like heat engines, refrigeration cycles, and understanding atmospheric processes. The formula reflects the work done when a gas expands or compresses in a confined space.

The negative sign indicates that work is done by the system when the volume increases and work is done on the system when the volume decreases.

Work, W(J) in Joules equals negative pressure, p(Pa) in pascals multiplied by the change in volume, ΔV(m3) in cubic metres.

Top of Form

Work, W(J) = – p(Pa) * ΔV(m3)

W(J) = work in joules, J.

p(Pa) = pressure in Pascals, Pa.

ΔV(m3) = change in volume in cubic metres, m.

Work from Pressure and Volume Calculation:

1. Calculate the work done by a gas that expands:

Given:

• Pressure, p(Pa) =100 Pa.
• Change in Volume, ΔV(m3) = 3m3

Work, W(J) = – p(Pa) * ΔV(m3)

W(J) = -100 * 3

W(J) = -300J.

1. Calculate the pressure on the gas during compression:

Given:

• Work, W(J) = 400J.
• Change in Volume, ΔV(m3) = -2m3

Work, W(J) = – p(Pa) * ΔV(m3)

p(Pa) = – ( W(J) / ΔV(m3) )

p(Pa) = – ( 400 / (-2) )

p(Pa) = 200Pa.

Applications and Considerations:

• Engineering Systems: Calculating the work associated with gas in engines and compressors is crucial for efficiency and design.
• Environmental Science: Understanding how atmospheric pressure changes influence weather patterns and climate dynamics.
• Physical Chemistry: In chemical reactions involving gases, predicting the work done during reactions helps in understanding system energetics.