Question: Suppose a cell is suspended in a solution containing a solute of constant concentration C s . Suppose further thatthe cell has constant volume V

Suppose a cell is suspended in a solution containing a solute of constant concentration C_s. Suppose further thatthe cell has constant volume V and that the area of its permeable membrane is the constant A. By Fick€™s lawthe rate of change of its massm is directly proportional tothe area A and the difference C_s- C(t), where C(t) is the concentration of the solute inside the cell at time t. Find C(t) if m = V €¢ C(t) and C(0) = C₀. See the following figure.

concentration concentration C() C, molecules of solute diffusing through cell membrane

Step by Step Solution

★★★★★

3.32 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

For simplicity let Ct be denoted by C Also given m CV N... 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

Document Format (2 attachments)

1596_6062c74d054bd_676504.pdf

180 KBs PDF File

1596_6062c74d054bd_676504.docx

120 KBs Word File

Students Have Also Explored These Related First Course Differential Equations Questions!

Suppose a cell is taking water into two vacuoles. Let V1 denote the volume of the first vacuole and V2 the volume of the second. In each of the following cases, i. Solve the given differential...

Suppose a cell is taking water into two vacuoles. Let V 1 denote the volume of the first vacuole and V 2 the volume of the second. In each of the following cases, a. Solve the given differential...

A mass-spring chain consists of four masses suspended between two fixed supports. The spring stiffnesses are c1 = 1, c2 = 1/2, c3 = 2/3, c4 = 1/2, c5 = 1. (a) Determine the equilibrium positions of...

ID Grip Strength (X) (X-Mean)2 98.5 3.4596 Histogram of Grip Strength in male EXSC 415 students $5.5 1.2996 10 95.0 2.6896 98.0 1.8496 126.5 891.6196 90.0 44.0896 114.0 301.3696 108.0 129.0496 124.0...

5-20. Concentrations of Reactive Solutes in Suspensions This problem concerns dilute suspensions of spheres in which a solute reacts irreversibly within the particles. It is desired to determine the...

Refer to Section 2.4.9 given in the course text on pages 31-33. This example refers to the results given in Figure 2.14 that were produced by solving the model eqs. 2-98 to 2-101 using a numerical...

HELP WITH THE FOLLOWING MULTIPLE-CHOICE PLEASE IMPORTANT: THIS IS FROM PREVIOUS EXAMS (not submitting, only practice) 6. Capacitors and batteries are similar because... A) Both can generate voltage....

A liquid phase reaction occurs in a constant volume batch reactor. The reactants are dissolved in a solvent. The reaction uses a solid catalyst suspended in the solution. The reaction and rate...

Problem 2. Fluorescence recovery after photobleaching One way to measure diffusion constants in cells is to use a fluorescence photobleaching technique. The cell is loaded with a fluorescent molecule...

The following are quarterly data, in millions of dollars, of corporate revenues for a firm in the apparel industry from first quarter 2005 through first quarter 2007: 3.4, 4.5, 4.0, 5.0, 4.2, 5.4,...

You work as an event coordinator at the Marriott Minneapolis City Center in downtown Minneapolis. You recently received an email from Renata Haimes from Midwest Insurance requesting information about...

The program development life cycle is divided into different stages. Analysis is the first stage. a) Describe the purpose of analysis. b) Identify and describe two other stages of the program life...

A storm destroys half the fava bean crop. Is this event more likely to hurt fava bean farmers if the demand for fava beans is very elastic or very inelastic? Explain.

In the spring of 2012, leadership at MultiCare Health System (MultiCare)a Tacoma, Washingtonbased health systemrealized the results of a 12-month journey to reduce septicemia. The effort was...

Consider the case describing the development and application of a data warehouse for Coca-Cola Japan (a summary appears in Application Case 3.4), available at the DSS Resources Web site,...

Identify and describe the core characteristics of a DW.

A publicly-held corporation has recently reported the following financial statements as of 31/12/2020. Balance sheet Assets Liabilities and equity Short-term assets 3,000,000 Debt 12,000,000...

Which of the following statements concerning bonds is not a true statement? The bond indenture and bond certificate are separate documents. The bond indenture is prepared after the bonds are printed....

Question # 5 (12 marks) (a) (4 marks) Assume that at the beginning of 2017, the expected Inflation rate for 2017 and 2018 is 3.8%, for 2019 is 6%, for 2020 and 2021 it is 4.65%. What is the average...