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Applications of Calculus: Example 4

Question:

A piston cylinder arrangement is at the following initial conditions. Volume = 2000cm^3,

Pressure = 400kPa. A force is being applied to the gas in which the pressure increases at a rate of 1kPa per second. Calculate a value for the change in volume over time using Boyle's law and related rates?

Answer:

We know the following initial conditions:





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