A cylindrical container of length 2 L is...

A cylindrical container of length 2 L is rotating with an angular speed w about an axis passing through its centre and perpendicular to its length. Its contains an ideal gas of molar mass M. Calculate the ratio of gas pressure at the end of the container to the pressure at its centre. Neglect gravity and assume that temperature of the gas throughout the container is T.

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The correct Answer is:

`e^((M omega^(2)L^(2))/(2RT))`

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