-12 points My Notes Ask Your Teacher At 20°C, honey has a viscosity about 6000 t

Question

-12 points My Notes Ask Your Teacher At 20°C, honey has a viscosity about 6000 times larger than that of water. For a particular tube, 520. mL/s of water will flow through for a particular pressure difference. (a) If the same tube, with the same pressure difference, is used for honey, what will the flow rate be? mL/s (b) If you want the flow rate for honey to be the same as that for water, with the same pressure difference, by what factor should you increase the radius of the tube? by a factor of

Explanation / Answer

preesure drop = 8 u Q L / pi R^4

for same preaasure drop,

Q u = constant

(520 m L / s) ( u_water) = Q (u_honey) = Q ( 6000 u_water)

Q = 0.087 mL/s .........Ans

(B) u / R^4 =constant

  
u_honey / R'^4 = u_water / R^4

R'^4 = (u_honey /u_water ) R^4 = 6000 R^4

R' = 8.80 R  

by a factor of 8.80

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