## 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)}.

__Work from Pressure and Volume Formula:__

__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:__

- Calculate the work done by a gas that expands:

Given:

- Pressure, p
_{(Pa)}=100 Pa. - Change in Volume, ΔV
_{(m3)}= 3m^{3}

Work, W_{(J)} = – p_{(Pa)} * ΔV_{(m3)}

W_{(J)} = -100 * 3

W_{(J)} = -300J.

**Calculate the pressure on the gas during compression:**

Given:

- Work, W
_{(J)}= 400J. - Change in Volume, ΔV
_{(m3)}= -2m^{3}

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.