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
Veronika [31]
3 years ago
9

Assume that k and V0 are constant and are, respectively, 0.02, and 7. The parameter CA varies from an initial value CA0 = 100 to

a final value of CA = 7. What is the value of V given the following equation and assuming that the integral of dV equals V. Express your answer rounded to one decimal place.
dCA/dV = -kCA/V0
Mathematics
1 answer:
julia-pushkina [17]3 years ago
7 0

Answer:

V = 929.7

Step-by-step explanation:

Given the equation:

\frac{dCA}{dV} = \frac{-kCA}{V0}

The integral of the above equation is:

\int\limits {\frac{dCA}{dV} } = \int\limits{\frac{-kCA}{V0} }

Re-organizing the integrals:

\int\limits  {\frac{dCA}{CA} } = \int\limits {\frac{-kdV}{V0} }

Integrating:

ln(CA) - ln(CA0) = \frac{-kV}{V0}

Inputting the initial conditions of CA and the values of k and V0:

ln(7) - ln(100) = \frac{-0.02V}{7}

1.946 - 4.605 = -0.00286V

-2.659 = -0.00286V

=> V = \frac{2.659}{0.00286}

V = 929.720

Approximating to one decimal place,

V = 929.7

You might be interested in
Find the surface area of a square pyramid with each side of the base measuring 6 cm and the slant height is 12 cm. What are the
Debora [2.8K]
The square base area is 6 x 6 = 36. Then each triangle is the same base and height. Formula for area is 1/2(b)(h). So, each triangle is 1/2(6)(12)=36. So all sides are 36x5=180 units squared.
3 0
3 years ago
7. Emily has to take 2 vitamins every 6 hours. How many vitamins will Emily take in 1 week?​
kicyunya [14]

Answer:

28...

hope this helps!

5 0
3 years ago
Read 2 more answers
I need help plssssssssssssssssssssssss
lesya692 [45]

Answer:

great

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Exact volume please help
disa [49]
Area of cylinder:
pi * r^2 * h
9*6*pi
volume = 54\pi
4 0
3 years ago
Read 2 more answers
I just need help with this one question
Arte-miy333 [17]

Answer: 1/4 chance of picking red

Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4

Hope this helps!

7 0
3 years ago
Read 2 more answers
Other questions:
  • Help me please with number 12
    12·2 answers
  • 125% of 62 is what number
    15·2 answers
  • Type the correct answer for each.
    13·1 answer
  • What is 4+5 equal to?
    12·2 answers
  • Trigonometry
    9·1 answer
  • Translate the given statement into propositional logic using proposition provided :
    10·1 answer
  • Negative seven-twelfths divided by negative 0.6
    13·1 answer
  • The two lines graphed on the coordinate grid each represent an equation. Which ordered pair represents a solution to both equati
    11·2 answers
  • Find the value of 9w + 1 given that -5w -5 = 5
    6·1 answer
  • Two jets leave an air base at the same time and travel in opposite directions. One jet travels 80 mi/h faster than the other. If
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!