A fixed thermally conducting cylinder has a radius R and height L 0 . The cylinder is…
Chemistry · JEE Advanced · NTA Exams — States of Matter (Gases and Liquids)
A fixed thermally conducting cylinder has a radius R and height L0. The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure.
The atmospheric pressure is P0.
The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure.
The density of the water is ρ. In equilibrium, the height H of the water column in the cylinder satisfies
The atmospheric pressure is P0.
The piston is taken completely out of the cylinder. The hole at the top is sealed. A water tank is brought below the cylinder and put in a position so that the water surface in the tank is at the same level as the top of the cylinder as shown in the figure.
The density of the water is ρ. In equilibrium, the height H of the water column in the cylinder satisfies
- rg(L0 – H)2 + P0(L0 – H) + L0P0 = 0
- rg(L0 – H)2 – P0(L0 – H) – L0P0 = 0
- rg(L0 – H)2 + P0(L0 – H) – L0P0 = 0
- rg(L0 – H)2 – P0(L0 – H) + L0P0 = 0.
Answer
(C) r g ( L 0 – H) 2 + P 0 ( L 0 – H ) – L 0 P 0 = 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- Vander waal’s constant ‘a’ and ‘b’ are related with....respectively
- The average velocity of an ideal gas molecule at 27ºC is 0.3 m/s. The average velocity at 927º C will be…
- Equal weights of methane and oxygen are mixed in an empty container at 25ºC. The fraction of the total…
- A liquid is in equilibrium with its vapour at its boiling point. On the average, the molecules in the two…
- Which of the following gases has the highest value of the van der Waals constant a ?
- Assertion (A): The pressure of a gas is inversely proportional to the volume at constant temperature and n…
- A given quantity of an ideal gas is at pressure P and absolute temperature T . The isothermal bulk modulus of…
- Assertion (A): When hydrogen gas expands adiabatically from high pressure to low pressure at room temperature…
More States of Matter (Gases and Liquids) questions · Browse all practice questions