The coefficient of viscosity of a species is 2.10x 10-5 Pa-s. This val...

Hence Option A is correct
The coefficient of viscosity of a species is 2.10x 10-5 Pa-s. This val...
Understanding Viscosity
Viscosity is a measure of a fluid's resistance to flow. It quantifies how much a fluid will deform under shear stress.
Coefficient of Viscosity
- The coefficient of viscosity (η) is typically expressed in units of Pa·s (Pascal-seconds).
- In the given problem, the coefficient of viscosity is 2.10 x 10^-5 Pa·s.
Relation to Other Units
- Nm^-2s:
- 1 Pa = 1 N/m², so 1 Pa·s = 1 N·s/m².
- Therefore, 2.10 x 10^-5 Pa·s is equivalent to 2.10 x 10^-5 N·m^-2·s.
- This confirms option (a) is correct.
- kg m^-1s:
- Viscosity can also be expressed in kg/(m·s).
- 1 Pa·s = 1 kg/(m·s) because 1 N = 1 kg·m/s², leading to the same dimensional analysis.
- Thus, 2.10 x 10^-5 Pa·s is also equal to 2.10 x 10^-5 kg·m^-1·s, making option (b) potentially correct.
- Poise:
- The poise is a unit of dynamic viscosity in the centimeter-gram-second (CGS) system.
- 1 poise = 0.1 Pa·s, so 2.10 x 10^-5 Pa·s = 2.10 x 10^-6 poise, indicating option (c) is also valid.
Conclusion
- While the statement indicates option (a) as the correct answer, both (b) and (c) are mathematically valid representations of viscosity.
- Therefore, the correct interpretation is that all options have valid equivalences, but the primary focus here is on option (a) as the standardized unit in the SI system.