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Name _____________________________ AP Biology Cell Size Lab (15 points) Period _________ Date ______________________ Name:_____________________________________________ Period:________ Date:_____________________________ LAB ____. LIMITS TO CELL SIZE Most cells areare between 2 micrometers and 200 Most cells between 2 micrometers and 200 micrometers micrometers—too to ofbe seen Why withcan’t naked eye. (1 micrometer is 1 small millionth a meter). cells ever Remember, a micrometer is 1 millionth of a meter! become larger than that? Why don’t we regularly find one-Why can’t cells ever become larger than that? Why don’t we celled organisms the size of frogs or insects? regularly find one-celled organisms the size of small In order for animals, cells to survive, they must multicellular like frogs or constantly even flies? In other exchange ions, gases, and wastes with their words, why can’t there nutrients, ever be an organism which is visible exchanges to environment. the naked eyeThese and that is one take giantplace cell?at the cell’s surface—across the cell membrane. The movement of In these ordermaterials for cells is to survive, they mostly must constantly accomplished by diffusionexchange (flow of ions, gases, nutrients, and wastes withacross their the environment. solutes down a concentration gradient) cell These exchanges take place at the membrane. Consequently, factors that cell’s affect surface—across diffusion can theaffect cell the membrane. The movement of these materials is survival of a cell. accomplished mostly by diffusion (flow of solutes down a concentration gradient) across the cell Consequently, factors that affect One of the core principles that govern the membrane. efficiency of diffusion is the ratio of surface area diffusion can affect the survival of a cell. to volume. Surface area is the amount of cell membrane available for diffusion. So for a cell, surface area actually represents how much diffusion thatof can happen at Whereas One of the core principles that governs the efficiency diffusion is one the time. ratio of surface area to volume is the amount of cytoplasm contained within the cell membrane. So for a cell, volume. Surface area is the amount of cell membrane available for diffusion. So for a cell, volumearea is how long It takes to get from membrane to the the cellatbyone diffusion. surface actually represents how the much diffusion thatcenter can of happen time. Whereas volume is the amount of cytoplasm contained within the cell membrane. So for a cell, volume is Therefore, to perform diffusion efficiently, there must be an adequate ratio between the how long It takes to get from the membrane to the center of the cell by diffusion. cell’s surface area and its volume. But as a sphere (the simplest model of cell shape) gets larger, its to volume increases at a different ratethere than must its surface area. Therefore, perform diffusion efficiently, be an adequate ratio between the cell’s surface area and its volume. But as a sphere (the simplest model of cell shape) gets larger, its The largest limitation cell size rate is diffusion. Diffusion a veryIn slow cellinvestigate were volume increases at aon different than its surfaceisarea. thisprocess. lab, weIf awill this 20 cm (~8 inches), it would take days for nutrients to reach its center or for wastes to reach relationship and how it affects diffusion time. the cell membrane. The cell would quickly starve to death or poison itself with its own The primeSolimitation cell size theapproaches limitation its imposed by size? diffusion. Diffusion is Ifa very slow wastes. what’s thetosolution, if aiscell maximum It’s time to divide! process. If a cell were 20 cm (~8 inches), it would take days for nutrients to reach cells receive the proper signals, they will divide by mitosis before they become too big. its center or for wastes to reach the cell membrane. The cell would quickly starve to death or poison itself with its own wastes. So what’s the solution, if a cell approaches its maximum size? It’s time to PART 1 PROCEDURE divide! If cells receive the proper signals, they will divide by mitosis before they become too big. In this lab activity, you will use agar cubes as cell models. You will investigate how increasing a cell’s size affects the time for diffusion to move material across the cell. The PART 1 PROCEDURE agar for the cubes has been dyed with phenolphthalein—a pH indicator. When the agar In cubes this lab you will use agar cubes as cell willsodium investigate how increasing a areactivity, placed in sodium hydroxide, they begin to models. turn pinkYou as the hydroxide cell’s size into affects the time for diffusion to move process materialfor across the cell. diffuses the agar. You will time this diffusion 3 different sizedThe cellsagar and for the cubes has been dyed with bromothymol blue—a pH indicator. When the agar cubes compare them. Diffusion will be considered complete when the clear color completely are placed in vinegar, theyfrom will the begin to turn disappears center of theyellow cell. as the vinegar diffuses into the agar. You will time this diffusion process for 3 different sized cells and compare them. Diffusion will be considered complete whenthe thesurface blue color completely disappears the center of the in cell. 1. Calculate area and volume of each cube from and record your values Table 1. Surface area (SA) of a uniform cube = (L x W) x 6 Volume (V) of a cube = L x W x H 2. Fill in the surface area to volume ratios for each cube in Table 1. Surface are to volume ratio (SA:V) = SA/V 1 of 4 Developed by Kim B. Foglia • www.ExploreBiology.com • ã2010 Table 1: Cell Dimensions and Time for Diffusion in Various Sized Cubes Surface Area Cell Size (cm) Volume (cm3) SA:V Ratio (cm2) Time (min) 1x1x1 2x2x2 PART 2 PROCEDURE 1. Now that you have observed differences in the rate of diffusion, calculate the surface area and volume for the cube in Table 2. 2. Determine the surface area to volume ratio. 3. How do you predict the rate of diffusion will compare for this cube? Do you think it will be similar to the 1x1x1 or the 2x2x2? Explain your reasoning. Prediction: _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ _________________________________________________________________________________________________________ Table 2: Cell Dimensions and Time for Diffusion in a 1x1x8 cube Surface Area Cell Size (cm) Volume (cm3) SA:V Ratio (cm2) Time (min) 1x1x8 Post Lab Questions Complete the following questions on a separate piece of paper and attach to this lab. 1. The 2x2x2 cell and the 1x1x8 cell have the same volume. Were their diffusion times the same? Explain why or why not. 2. In general, what is the relationship between the SA:V ratio and diffusion time? 3. Explain why cells can’t get very, very big. 4. Each of the following types of cells are shaped very differently than the classical round or boxy shape that you see drawn in introductory textbook chapters on cells. For each of the following cells, draw a diagram for and explain how the unique shape is tied to the function that each performs. Erythrocytes (red blood cells) Simple columnar epithelial cells (with microvilli) lining small intestine Root hairs in plants