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Differentiation and Related Rates : Rate of Change in Pressure and Volume of a Gas

When a certain polyatomic gas undergoes adiabatic expansion, its pressure p and volume V satisfy the equation PV^1.3 = k where k is a constant. Find the relationship between the related rates dp/dt and dV/dt

Answer: V^0.3 (1.3p dV/dt) + V dp/dt = 0

Solution Summary

Rate of change in pressure and volume of a gas are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.