Explanation Given: Depth of the lake, h = 41 m Initial volume of the bubble, V i = 1 c m 3 Initial temperature, T i = 5.5 ° C = ( 5.5 + 273 ) K = 278.5 K Final temperature, T f = 18.5 ° C = ( 18.5 + 273 ) K = 291.5 K Final pressure, P f = a t m o s p h e r i c p r e s s u r e , P a = 1 a t m = 1.01 × 10 5 P a Formula used: i) P = ρ g h ii) P V = n R T Calculation: The pressure experienced by the air bubble at the surface of the lake is only the pressure due to the atmosphere (1 atm), while the pressure at the bottom of the lake is the sum of the atmospheric pressure as well as the pressure exerted by the column of water above the bubble. Therefore, i n i t i a l p r e s s u r e f o r t h e b u b b l e = p r e s s u r e a t t h e b o t t o m o f t h e l a k e , P i = P a + P w , where P w is the pressure due to the water or P i = P a + ρ g h , where ρ is the density of water or P i = 1...

7th Edition

ISBN: 2818440037979

Author: GIANCOLI

Publisher: PEARSON

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Chapter 13, Problem 37P

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The radius of the air bubble just before it reaches the surface of the lake

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Chapter 13, Problem 36P

Chapter 13, Problem 38P

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