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steposvetlana [31]
3 years ago
11

The Reynolds number, Re, is a dimensionless number used to characterize different flow regimes in a fluid. The Reynolds number c

an be defined as DVD Re= where D is the diameter of the pipe, V is the mean fluid velocity, p is the density of the fluid, and p is the dynamic viscosity of the fluid. What is the Reynolds number of blood leaving the heart through the aorta if it has a dynamic viscosity of y= 3.70 CP (centipoise), a density of p = 1051 kg/m, travels at a mean fluid velocity of V = 34.3 cm/s, and the diameter of the aorta is D = 2.15 cm?
Chemistry
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

Re=2094,76

Explanation:

For a fluid that circulates inside a straight circular pipe, the Reynolds number is given by:

Re=\frac{pvD}{u}

where (using the international measurement system):

  • ρ: density of the fluid [kg/m3]
  • v: velocity of the fluid [m/s]
  • D: diameter of the pipe through which the fluid circulates [m]
  • μ: dynamic viscosity [Pa.s]

To solve the probelm, we just need to replace our data using <u>THE CORRECT UNITS</u> in the Reynolds number equation. So we have:

ρ=1051 kg/m3,

v=34,3 cm/s=0,343 m/s

D=2,15 cm = 0,0215 m

μ = 3,7 cp * 10^-3 Pa.s/1 cp = 3,7*10^-3 Pa.s

Replacing in the main equation:

Re=\frac{1051\frac{kg}{m^{3} }*0,343\frac{m}{s}*0,0215m  }{3,7*10^{-3}Pa.s } =2094,76

So the Reynolds number is 2094,76 (note that the Reynolds number is a dimensionless quantity).

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PLEASE ANSWER I AM BEGGING
TiliK225 [7]

Taking into account the definition of dilution:

  • you have to use 8.23 mL of a stock solution of 7.00 M HNO₃ to prepare 0.120 L of 0.480 M HNO₃.
  • If you dilute 20.0 mL of the stock solution to a final volume of 0.270 L , the concentration of the diluted solution is 0.518 M.

<h3>Dilution</h3>

Dilution is the process of reducing the concentration of solute in solution, which is accomplished by simply adding more solvent to the solution at the same amount of solute.

In a dilution the amount of solute does not change, but as more solvent is added, the concentration of the solute decreases, as the volume (and weight) of the solution increases.

A dilution is mathematically expressed as:

Ci×Vi = Cf×Vf

where

  • Ci: initial concentration
  • Vi: initial volume
  • Cf: final concentration
  • Vf: final volume

<h3>Volume of stock solution</h3>

In this case, you know:

  • Ci= 7 M
  • Vi= ?
  • Cf= 0.480 M
  • Vf= 0.120 L

Replacing in the definition of dilution:

7 M× Vi= 0.480 M× 0.120 L

Solving:

Vi= (0.480 M× 0.120 L)÷ 7 M

<u><em>Vi= 0.00823 L= 8.23 mL</em></u> (being 1 L= 1000 mL)

Finally, you will need 8.23 mL of the stock solution.

<h3>Concentration of the diluted solution</h3>

In this case, you know:

  • Ci= 7 M assuming the stock solution is 7.00 M HNO₃
  • Vi= 20 mL= 0.02 L
  • Cf= ?
  • Vf= 0.270 L

Replacing in the definition of dilution:

7 M× 0.02 L= Cf× 0.270 L

Solving:

(7 M× 0.02 L)÷ 0.270 L= Cf

<u><em>0.518 M= Cf</em></u>

Finally, the concentration is 0.518 M.

Learn more about dilution:

brainly.com/question/13505906

brainly.com/question/6692004

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brainly.com/question/16343005

brainly.com/question/24709069

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A 50% antifreeze solution is to be mixed with a 90% antifreeze solution to get 200 liters of a 80% solution. How many liters of
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Answer:

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Explanation:

this problem can be solved by the mixture and allegation concept which can be clearly understand from bellow figure in which the concentration of solution 1 is 50% and concentration of solution 2 is 90% before mixing after mixing with help bellow concept the ratio of concentration become 10:30

ratio of solution 1 and solution 2 =10:30

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                           =50 liters

part of solution 2=\frac{3}{4} ×200

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