at a certain temperature radius of an air bubble

Question

at a certain temperature radius of an air bubble is doubled when it comes to the top from the bottom of a mercury column of of height 'h'. If the pressure at the top is two atmospheres, the value of h is?

Arun · Accepted Answer

Let the depth of lake be h cm Pressure at the bottom of lake, P1 = Atmospheric pressure + pressure due to water column in the lake = 76 × 13.6 × g + hρg = (76 × 13.6 + h × 1) g Volume of bubble at the bottom, V1 = V Volume of bubble at the surface, V2 = 2V Pressure at the surface P2 = Atmospheric pressure = 76 cm of Hg = 76 × 13.6 × g From Boyle's law, P1V1 = P2V2 (76 × 13.6 + h × 1) g × V = 76 × 13.6 × g× 2V or h = (2 ×76 ×13.6) – (76 × 13.6) = 76 × 13.6 = 1034 cm = 10.34 m

Thermal Physics> at a certain temperature radius of an air...

at a certain temperature radius of an air bubble is doubled when it comes to the top from the bottom of a mercury column of of height 'h'. If the pressure at the top is two atmospheres, the value of h is?

Atharva thodge , 8 Years ago

Arun

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Let the depth of lake be h cm
Pressure at the bottom of lake,

P₁	=	Atmospheric pressure + pressure due to water column in the lake
	=	76 × 13.6 × g + hρg
	=	(76 × 13.6 + h × 1) g

Volume of bubble at the bottom, V₁	=	V
Volume of bubble at the surface, V₂	=	2V

Pressure at the surface P₂	=	Atmospheric pressure
	=	76 cm of Hg
	=	76 × 13.6 × g
From Boyle's law, P₁V₁	=	P₂V₂
(76 × 13.6 + h × 1) g × V	=	76 × 13.6 × g× 2V
or h	=	(2 ×76 ×13.6) – (76 × 13.6)
	=	76 × 13.6
	=	1034 cm
	=	10.34 m

Thermal Physics> at a certain temperature radius of an air...

at a certain temperature radius of an air bubble is doubled when it comes to the top from the bottom of a mercury column of of height 'h'. If the pressure at the top is two atmospheres, the value of h is?

Atharva thodge , 8 Years ago

Arun

LIVE ONLINE CLASSES

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