A 1.5 m long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface. Calculate the height to which water rises inside the tube measured from its l

Question

A 1.5 m long tube closed at one end is lowered vertically into water until the closed end is flush with the water surface. Calculate the height to which water rises inside the tube measured from its lower (open) end. (Barometric pressure = 1 atm = 10 m of hydrostatic water head. Temperature = 25°C, Density of water 1.00 g/ml. Neglect water vapour pressure)

TestHub · Accepted Answer

Let a = trapped air column length. The inside water level lies a m below the surface, so the trapped air is at (10 + a) m of water head. Boyle's law: 10 × 1.5 = (10+a)·a ⇒ a² + 10a - 15 = 0 ⇒ a = (-10 + √(160))/2 = 1.32 m. Water rise inside the tube = 1.5 - 1.32 = 0.18 m. Matches (c).

Chemistry - Ideal Gas Question with Solution | TestHub

Options:

Doubts & Discussion