How far can I move (in \( \mathrm{cm} \) ) the piston of cross-section \( \mathrm{A}_{1} \), in ...

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How far can I move (in \( \mathrm{cm} \) ) the piston of cross-section \( \mathrm{A}_{1} \), in the device shown in figure, so that \( 40 \% \) of the air enclosed remains. (The atmospheric pressure \( \mathrm{p}_{0}= \)
P \( 10 \mathrm{~N} / \mathrm{cm}^{2} \), density of liquid \( =5 \mathrm{~g} / \mathrm{cm}^{3}, \ell=20 \mathrm{~cm}, A_{1}=4 \mathrm{~cm}^{2} \),

W \( A_{2}=1 \mathrm{~cm}^{2} \). The temperature is constant. The piston is massless and the initial height of gas in device is \( 110 \mathrm{~cm} \).
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