When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV1.4 . cubic centimeters and the pressure is 81 kPa and is decreasing at a rate of 8 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? = C where C is a constant. Suppose that at a certain instant the volume is 360 cm3 min (Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.

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Q: When air expands adiabatically (without gaining or losing

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.