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In an Adiabatic Process (One in Which No Heat Transfer PP

question 64

Short Answer

In an adiabatic process (one in which no heat transfer takes place), the pressure PP and volume VV of an ideal gas such as oxygen satisfy the equation
P5V7=CP ^ { 5 } V ^ { 7 } = C
where CC is a constant. Suppose that at a certain instant of time, the volume of the gas is 2 L2 \mathrm {~L} , the pressure is 100kPa100 \mathrm { kPa } , and the pressure is decreasing at the rate of 5kPa/sec5 \mathrm { kPa } / \mathrm { sec } . Find the rate at which the volume is changing.

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