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
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 50P
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Question
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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