1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinil7 [7]
3 years ago
6

A fish maintains its depth in fresh water by adjusting the air content of porous bone or air sacs to make its average density th

e same as that of the water. Suppose that with its air sacs collapsed, a fish has a density of 1.18 g/cm3. To what fraction of its expanded body volume must the fish inflate the air sacs to reduce its density to that of water?
Biology
1 answer:
Volgvan3 years ago
5 0

Answer:

0.153

Explanation:

We know the up-thrust on the fish, U = weight of water displaced = weight of fish + weight of air in air sacs.

So ρVg = ρ'V'g + ρ'V"g where ρ = density of water = 1 g/cm³, V = volume of water displaced, g = acceleration due to gravity, ρ'= density of fish = 1.18 g/cm³, V' = initial volume of fish, ρ"= density of air = 0.0012 g/cm³ and V" = volume of expanded air sac.

ρVg = ρ'V'g + ρ"V"g

ρV = ρ'V'g + ρ"V"

Its new body volume = volume of water displaced, V = V' + V"

ρ(V' + V") = ρ'V' + ρ"V"

ρV' + ρV" = ρ'V' + ρ"V"

ρV' - ρ"V'  = ρ'V" - ρV"

(ρ - ρ")V'  = (ρ' - ρ)V"

V'/V" = (ρ - ρ")/(ρ' - ρ)

= (1 g/cm³ - 0.0012 g/cm³)/(1.18 g/cm³ - 1 g/cm³)

= (0.9988 g/cm³ ÷ 0.18 g/cm³)

V'/V" = 5.55

Since V = V' + V"

V' = V - V"

(V - V")/V" = 5.55

V/V" - V"/V" = 5.55

V/V" - 1 = 5.55

V/V" = 5.55 + 1

V/V" = 6.55

V"/V = 1/6.55

V"/V = 0.153

So, the fish must inflate its air sacs to 0.153 of its expanded body volume

You might be interested in
A student studied the growth of mold on strawberries. One container of strawberries was vacuum-sealed to
ValentinkaMS [17]
The air created the mold and spread it
7 0
3 years ago
Two pink-flowering plants are crossed. The offspring percentages are 25% red, 25% white and 50% pink. What would the parent's ge
topjm [15]

Answer:

The options are

A. both homzygous dominant

B. both homzygous recessive

C. both heterozygous

D. one homzygous dominant, one homzygous recessive

The answer is C. both heterozygous

Since it’s in the ratio of 1:2:1 the genotype will be Rr and Rr.

4 0
3 years ago
Cells are limited in size by the
k0ka [10]

Answer:

The Answer is A

Explanation:

hope this helps

7 0
3 years ago
What causes the ocean waves that surface use for their sport ?
lapo4ka [179]
Wind blowing across the water creates friction and pulls the water along with it. This creates small waves. these waves then slowly build as they go farther until you get a large wave.
6 0
3 years ago
Can someone answer this in there own words GIVING BRAIN LIEST!!
Sati [7]
This is the work of Justin cottle not mine

8 0
3 years ago
Other questions:
  • Jamaal has to make an important phone call. unfortunately, his cell phone is not charged and he has to use his landline, which d
    15·1 answer
  • You observe a microbial colony on glycerol yeast agar. this microbe is likely to be
    7·1 answer
  • Where does translation take place? hints where does translation take place? endoplasmic reticulum golgi apparatus ribosome nucle
    10·1 answer
  • _____ developed the concept of half-life.
    11·1 answer
  • Why do plants need sunlight?
    8·1 answer
  • Which part of the nucleotide stores the genetic information?
    15·1 answer
  • Is a short, fleshy stem surrounded by enlarged, fleshy bases of leaves.
    7·1 answer
  • Is Jamall correct why or why not
    10·1 answer
  • What is the term for the application of scientific information?
    9·1 answer
  • Four individuals presented to the ER with several signs and symptoms (see table 1). While taking their history, you ask if they'
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!