A mercury column of length 10 cm is in the middle of a horizontal...

A mercury column of length 10 cm is in the middle of a horizontal tube of length 1 m closed at both ends containing same amount of a gas in both columns. If the tube is placed vertically, the mercury column will shift through a distance of

\frac{225}{13} \mathrm{~cm}

from its initial position. Find the final pressure of gas in upper column (in cm of Hg ) when the tube is placed vertically. A mercury column of length 10 cm is in the middle of a horizontal tube of length 1 m closed at both ends containing

A mercury column of length 10 cm is in the middle of a horizontal tube of length 1 m closed at both ends containing

Correct answer

Step-by-step solution

Case - 1

Case - 2

\begin{aligned} & \left(P_g-P\right) \times\left(45+\frac{225}{13}\right)=\left(P_g-P+10\right) \times\left(45-\frac{225}{13}\right)=n R T \\ & \therefore P_g-P=8 \mathrm{~cm} \end{aligned}

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