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Under certain conditions (called adiabatic expansion) the pressure P and volume V of a gas such as oxygen satisfy the equation P3V5=k, where k is

Under certain conditions (called adiabatic expansion) the pressure P and volume V of a gas such as oxygen satisfy the equation P3V5=k, where k is a constant. Suppose that at some moment the volume of the gas is 7 liters, the pressure is 400 units, and the pressure is increasing at the rate 3 units per second. Find the (time) rate at which the volume is changing

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