Answer:
volume of bubble is 2.736 cm³
Explanation:
given data
height h = 35 m
volume = 1.98 cm³ = 1.98 × [tex]10^{-6}[/tex] 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 × [tex]10^{5}[/tex] Pa and ρ density of water
put here value in equation 1
pressure = Pt + ρ × g × h
pressure = 1.013 × [tex]10^{5}[/tex] + 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 × [tex]10^{-6}[/tex] × 5.2 / ( 1.013 × [tex]10^{5}[/tex] × 16.5 )
v2 = 2.736 × [tex]10^{-6}[/tex] m³
so volume of bubble is 2.736 cm³