Boyle's law for enclosed gases states that at a constant temperature, the pressure is related to the volume by the equation , where k is a constant. If the volume is increasing at a rate of 7 cubic inches per hour, at what rate is the pressure changing when the volume is 40 cubic inches and inch-pounds? Round your answer to three decimal places. A)1.750 lb/in²/hr B)-0.001 lb/in²/hr C)-70.000 lb/in²/hr D)0.009 lb/in²/hr E)-0.009 lb/in²/hr

Question

Quizplus · Accepted Answer

From the given equation 11eb0d3b_9883_3849_9790_3fe83bde04dd_TB1243_11 , we can take the derivative with respect to time to find the rate of change of pressure with respect to volume: dP/dt = -k/V^2 * dV/dt Plugging in the given values, we get: dP/dt = -(11eb0d3b_9883_384a_9790_61b5b19d4e63_TB1243_11)/(40)^2 * 7 Simplifying, we get: dP/dt = -0.009 lb/in²/hr Therefore, the answer is E.

Boyle's Law for Enclosed Gases States That at a Constant