When air expands adiabatically (without gaining or losingheat), its pressure P and volume V are related by the equation PV1.4 =C, where is a constant. Suppose that at acertain instant the volume is 400 cm3 and the pressure is80 kPa and is decreasing at a rate of 10 kPa/min. At whatrate is the volume increasing at this instant?

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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.