Question

3) A gas at initial density 1.0 kg/m3 is compressed inside a cylinder of total length L = 0.5 m, The velocity of the gas in the direction of compression varies linearly from V- 10 cm/s at x-0 to V 0 cm/s at x -L (the end of the cylinder). Calculate the gas density after 3 s of compression. v (x) x=L x=0

Fluid mechanics

Please show all work.

The answer is p = 1.8 kg/m3

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