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# Boyle's Law.............?

Boyle's Law states that if the temperature of a gas remains constant, its pressure is inversely proportional to its volume. Use the derivative to show that the rate of change of the pressure is inversely proportional to the square of its volume.

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- Peter mLv 51 decade agoFavorite Answer
P = k/V, where P is pressure and V is volume.

P=kV^-1

dP/dt = -1kV^-2*dV/dt or

dP/dt = C/V^2*dv/dt

I have replaced -k with the constant C. This shows that actually the rate of change is jointly proportional to the inverse of the square of the volume AND the directly to the rate of change of the Volume.

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