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A patient has suffered blood loss and a health care provider is preparing a saline solution for injection. The osmotic pressure of red blood cell is 7 atm, and the prepared solution should be isotonic with those cells. Note: body temperature is 37.15°C and that the gas constant R is 8.206×10 -2 L'atm K-mol The conversion of temperature from °C to Kelvin is T in K = T°C+273.15 (a) To prepare the saline solution, how many moles n of solute should be put into 2 L of distilled water? n = mol (b) Mistakenly, the concentration of the solution is only 1/4 of what it should be. What would be the net osmotic pressure exerted on the walls of the red blood cells? Hint: The concentrations inside the cell and outside the cell are now different. How can you calculate the net osmotic pressure? net = (c) The solution from part B is: atm (d) The diameter of a typical red blood cell is 5.98 μm. Calculate the net force the solution experiences across the cell membrane. Hint: We can assume that the red blood cell is a sphere. What is the surface area of a sphere? Also make sure you are working in SI units of pressure. ΣΕ = N (e) How tall of a column of mercury would the net osmotic pressure (from part B) support considering kg that the density of liquid mercury at STP (standard temperature and pressure) is 13534- -? To get a m³ sense of the pressure value, compare it with atmospheric pressure. Height of mercury column: m

A patient has suffered blood loss and a health care provider is preparing a saline solution for injection. The osmotic pressure of red blood cell is 7 atm, and the prepared solution should be isotonic with those cells. Note: body temperature is 37.15°C and that the gas constant R is 8.206×10 -2 L'atm K-mol The conversion of temperature from °C to Kelvin is T in K = T°C+273.15 (a) To prepare the saline solution, how many moles n of solute should be put into 2 L of distilled water? n = mol (b) Mistakenly, the concentration of the solution is only 1/4 of what it should be. What would be the net osmotic pressure exerted on the walls of the red blood cells? Hint: The concentrations inside the cell and outside the cell are now different. How can you calculate the net osmotic pressure? net = (c) The solution from part B is: atm (d) The diameter of a typical red blood cell is 5.98 μm. Calculate the net force the solution experiences across the cell membrane. Hint: We can assume that the red blood cell is a sphere. What is the surface area of a sphere? Also make sure you are working in SI units of pressure. ΣΕ = N (e) How tall of a column of mercury would the net osmotic pressure (from part B) support considering kg that the density of liquid mercury at STP (standard temperature and pressure) is 13534- -? To get a m³ sense of the pressure value, compare it with atmospheric pressure. Height of mercury column: m

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A patient has suffered blood loss and a health care provider is preparing a saline solution for injection. The osmotic pressure of red blood cell is 7 atm, and the prepared solution should be isotonic with those cells. Note: body temperature is 37.15°C and that the gas constant R is 8.206×10 -2 L'atm K-mol The conversion of temperature from °C to Kelvin is T in K = T°C+273.15 (a) To prepare the saline solution, how many moles n of solute should be put into 2 L of distilled water? n = mol (b) Mistakenly, the concentration of the solution is only 1/4 of what it should be. What would be the net osmotic pressure exerted on the walls of the red blood cells? Hint: The concentrations inside the cell and outside the cell are now different. How can you calculate the net osmotic pressure? net = (c) The solution from part B is: atm (d) The diameter of a typical red blood cell is 5.98 μm. Calculate the net force the solution experiences across the cell membrane. Hint: We can assume that the red blood cell is a sphere. What is the surface area of a sphere? Also make sure you are working in SI units of pressure. ΣΕ = N (e) How tall of a column of mercury would the net osmotic pressure (from part B) support considering kg that the density of liquid mercury at STP (standard temperature and pressure) is 13534- -? To get a m³ sense of the pressure value, compare it with atmospheric pressure. Height of mercury column: m
Transcribed Image Text:A patient has suffered blood loss and a health care provider is preparing a saline solution for injection. The osmotic pressure of red blood cell is 7 atm, and the prepared solution should be isotonic with those cells. Note: body temperature is 37.15°C and that the gas constant R is 8.206×10 -2 L'atm K-mol The conversion of temperature from °C to Kelvin is T in K = T°C+273.15 (a) To prepare the saline solution, how many moles n of solute should be put into 2 L of distilled water? n = mol (b) Mistakenly, the concentration of the solution is only 1/4 of what it should be. What would be the net osmotic pressure exerted on the walls of the red blood cells? Hint: The concentrations inside the cell and outside the cell are now different. How can you calculate the net osmotic pressure? net = (c) The solution from part B is: atm (d) The diameter of a typical red blood cell is 5.98 μm. Calculate the net force the solution experiences across the cell membrane. Hint: We can assume that the red blood cell is a sphere. What is the surface area of a sphere? Also make sure you are working in SI units of pressure. ΣΕ = N (e) How tall of a column of mercury would the net osmotic pressure (from part B) support considering kg that the density of liquid mercury at STP (standard temperature and pressure) is 13534- -? To get a m³ sense of the pressure value, compare it with atmospheric pressure. Height of mercury column: m
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