Question: As a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at a rate that is proportional to its surface

As a spherical raindrop falls, it reaches a layer of dry air and begins to evaporate at a rate that is proportional to its surface area (S = 4πr²). Show that the radius of the
raindrop decreases at a constant rate.

Step by Step Solution

★★★★★

3.47 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Because the evaporation rate is ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

A room contains 50 kg of dry air and 0.6 kg of water vapor at 25C and 95 kPa total pressures. The relative humidity of air in the room is (a) 1.2% (b) 18.4% (c) 56.7% (d) 65.2% (e) 78.0%

A room contains 65 kg of dry air and 0.6 kg of water vapor at 25oC and 90 kPa total pressure. The relative humidity of air in the room is (a) 3.5% (b) 41.5% (c) 55.2% (d) 60.9% (e) 73.0%

A tank contains 21 kg of dry air and 0.3 kg of water vapor at 30C and 100 kPa total pressures. Determine (a) the specific humidity, (b) The relative humidity, and (c) The volume of the tank.

This print-out should have 34 questions. Multiple-choice questions may continue on the next column or page - find all choices before answering. 001 10.0 points Find the interval(s) where f(x) = 2-...

In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. Assume that a typical raindrop is spherical. Starting at some time, which we...

As a raindrop falls, it evaporates while retaining its spherical shape. If we make the further assumptions that the rate at which the raindrop evaporates is proportional to its surface area and that...

1. 1. Heyerdahl: Did you find Heyerdahl's essay convincing? Why or why not? What rhetorical techniques does he use to attempt to persund the reader of his point of view that man is killing the ocean?...

During 2020, Richard and Greta Van Fleet, who are married and have two dependent children, ages 14 and 16, and have the following information: Total salaries Bank account interest State of Idaho bond...

Determine the center of gravity location for a company that wants to serve customers located in Chicago, Detroit, Indianapolis, and Cincinnati Market Chicago Detroit Latitude Longitude Population in...

5. Critical Thinking Question (based on Practice Operations Simulation): Which of the following is NOT a possible reason that a firm may choose to carry raw materials in inventory before they are...

Your organization reduces its days in receivables from 1 0 4 to 6 1 , which generates $ 6 . 2 million of new investment funds. Growth rate in equity will increase because: total asset turnover will...

1) Who are Rollss principal project management stakeholders? How would you design stakeholder management strategies to address their concerns? 2) Given the financial risks inherent in developing a...

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The weight of a car is a scalar.

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The mass of a book is a scalar.

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. The temperature of your blood is a scalar.

A Financial Institution (FI) has issued a one-year loan commitment of $2 million for an up-front fee of 25 basis points. The back-end fee on the unused portion of the commitment is 10 basis points....

beagle is married and has 4 children, how many withholding allowances would he have? 4 6 married the book told us to use a certain dollar amount for federal withholding allowance how much was it?...

During the year, Belyk Paving Co. had sales of $2,365,000. Cost of goods sold, administrative and selling expenses, and depreciation expense were $1,315,000, $595,000, and $438,000, respectively. In...