Connected rates of change for gas pressure inversely proportional to volume in a cylinder
Connected rates of change for gas pressure inversely proportional to volume in a cylinder
4 marks
A fixed amount of gas is trapped in a cylinder below a piston. The piston is pulled upwards, so that the volume of the gas, \(V\text{ cm}^3\), increases.
The pressure of the gas, \(P\) newtons per \(\text{cm}^2\), satisfies \(PV=400\).
At one instant the volume is \(50\text{ cm}^3\) and is increasing at \(6\text{ cm}^3\) per second.
Find the rate at which the pressure is decreasing at this instant.[4]
Solution:
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Answer:\(0.96\text{ N cm}^{-2}\text{ s}^{-1}\)
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