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What is dynamic viscosity in Pa-s for a liquid having relative density of 0.85 and kinematic viscosity of 2.5 centistoke?
  • a)
    2.225 x 10-3
  • b)
    2.125 X 10-3
  • c)
    1.925 x 10-3
  • d)
    2X10-3
Correct answer is option 'B'. Can you explain this answer?
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Calculation of Dynamic Viscosity

Given:
Relative density of liquid = 0.85
Kinematic viscosity of liquid = 2.5 centistoke

Formula:
Dynamic viscosity = Kinematic viscosity x Density

Calculation:
1) Convert kinematic viscosity from centistoke to m^2/s
2.5 centistoke = 2.5 x 10^-6 m^2/s

2) Calculate density of liquid
Density of liquid = Relative density x Density of water
Density of water = 1000 kg/m^3
Density of liquid = 0.85 x 1000 = 850 kg/m^3

3) Calculate dynamic viscosity
Dynamic viscosity = 2.5 x 10^-6 m^2/s x 850 kg/m^3
Dynamic viscosity = 2.125 x 10^-3 Pa-s

Therefore, the dynamic viscosity of the given liquid is 2.125 x 10^-3 Pa-s.
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