Work Done Calculation: Cylinder Piston System

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The discussion centers on the calculation of work done by or on a system, specifically a cylinder-piston setup, using the formula Work = ± p (external pressure) × change in volume. A key question raised is whether this formula is only applicable under isothermal conditions, with clarification that it can be used in various scenarios, not limited to isothermal processes. The formula serves as a foundation from which other equations can be derived based on the specific conditions, such as isothermal or adiabatic processes. Caution is advised when dealing with processes that involve varying pressure, as this can affect the accuracy of the calculations.
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In numerical of calculation of work done by/on the system (cylinder piston )
the formula used Work=± p(external pressure)multiplied by change in volume
I want to ask should temperature be constant to apply this formula?I mean is this formula applicable only in isothermal condition?
 
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You can use this formula for work anytime( as far as i know). Other equations can be derived from this depending on whether its isothermal/adiabatic. You got to play around with the basic equation to match the data you have.
Be careful when you come across processes with varying pressure.
 
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