A cylindrical tube AB of length l, closed at both ends, contains an ideal gas of 1 mol having molecular weight…

Question

A cylindrical tube $$AB$$ of length $$l$$, closed at both ends, contains an ideal gas of $$1$$ mol having molecular weight $$M$$. The tube is rotated in a horizontal plane with constant angular velocity $$\omega$$ about an axis perpendicular to $$AB$$ and passing through the edge at end $$A$$, as shown in the figure. If $$P_A$$ and $$P_B$$ are the pressures at $$A$$ and $$B$$ respectively, then (consider the temperature to be same at all points in the tube)

Accepted Answer

D. $$P_B = P_A \exp\!\left(\dfrac{M\omega^2l^2}{2RT}\right)$$

Answer

A. $$P_B = P_A \exp\!\left(\dfrac{M\omega^2l^2}{RT}\right)$$

Answer

B. $$P_B = P_A$$

Answer

C. $$P_B = P_A \exp\!\left(\dfrac{M\omega^2l^2}{3RT}\right)$$

Answer & step-by-step solution

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