Air bubble at the bottom of a lake 35.0 m deep has a volume of 1.98 cm3. part a if the temperature at the bottom is 5.2 ∘c and at the top 16.5 ∘c, what is the volume of the bubble just before it reaches the surface?

volume of bubble is 2.736 cm³

Explanation:

given data

height h = 35 m

volume = 1.98 cm³ = 1.98 × m³

temperature t1 = 5.2°C

temperature t2 =  16.5°C

to find out

volume of the bubble

solution

first we find pressure depth  35 m

pressure = Pt + ρ × g × h    ................1

here Pt is pressure at top = 1.013 × Pa and  ρ density of water

put here value in equation 1

pressure = Pt + ρ × g × h

pressure = 1.013 × + 1000 × 9.8 × 35

pressure =  444300 Pa

so

from gas equation

p1×v1 / t1  = pt×v2 / t2

put here value

v2 = p1×v1×t1  / pt×t1

v2 = 444300× 1.98 ×  × 5.2  / ( 1.013 × × 16.5 )

v2 = 2.736 × m³

so volume of bubble is 2.736 cm³

when it gains or loses electrons

the skeletons of most mammals reach a certain size and then stop growing. however, many animals, including some mammals, keep growing throughout their lives. kangaroos, for example, just keep growing and growing until they die. also, the longer an animal lives the greater the chance it might catch some deadly disease.