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A bubble of gas released at the bottom of a lake increases to

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A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, $10 m$ height, the depth of the lake is

Name: Video solution 1: A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, 10 m height, the depth of the lake is
Uploaded: 2022-10-03T10:23:34.000Z
Duration: 2 min
Description: Video solution 1: A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, 10 m height, the depth of the lake is

80 m

90 m

70 m

10 m

Views: 6,036 students

Updated on: Nov 21, 2022

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New Pattern JEE Problems Chemistry for JEE Main and Advance( Master Problem Package) (Arihant)

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A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water,

10 m

height, the depth of the lake is

9 mins ago

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Text solutionVerified

(c)

p_{1} V_{1} (at bottom) =_{(at surface)}^{p_{2} V_{2}}

p = h \cdot d \cdot g

p_{1} V_{1} = (p + p_{1}) V

= (h d g + 10 g) V

= (h g + 10 g) V

p_{1} V_{2} = 10 g \times 8 V

\Rightarrow (h g + 10 g) V = 10 g \times 8 V

h + 10 = 80

h = 70 m

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Question Text	A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, $10 m$ height, the depth of the lake is
Updated On	Nov 21, 2022
Topic	States of Matter
Subject	Chemistry
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	277
Avg. Video Duration	4 min

A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, $10 m$ height, the depth of the lake is

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A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, 10 m height, the depth of the lake is

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A bubble of gas released at the bottom of a lake increases to eight times its original volume when it reaches the surface. Assuming that atmospheric pressure is equivalent to the pressure exerted by a column of water, $10 m$ height, the depth of the lake is