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A container having base area A ₀ . Contains mercury upto a height ₀ . At its bottom a thin tube of length 4 ₀ and cross-section area A ( A A ₀ ) having lower end closed is attached. Initially the length of mercury in tube is 3 ₀ . In remaining part 2 mole of a gas at temperature T is closed as shown in figure. Determine the work done (in joule) by gas if all mercury is displaced from tube by heating slowly the gas in

Correct answer

5

Step-by-step solution

If x is length of mercury in tube then pressure of gas P ^ = P ₀+ g ₀+ gx =3 g ₀+ g x W =- _ 3 ₀ ^0 (3 ~g ₀+ gx ) Adx =13.5 gA ₀^2=5

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