The manufacturer of synthetic motor oil lists the viscosity of their 0W20 oil as 47.0 c St and 8.8 c St at 40°C and 100°C, respectively. The 0W20 product data sheet also indicates that the specific...

The manufacturer of synthetic motor oil lists the viscosity of their 0W20 oil as 47.0 c St and 8.8 c St at 40°C and 100°C, respectively. The 0W20 product data sheet also indicates that the specific gravity of the oil is 0.844 at 15.6 C. The specific gravity of a fluid is defined as,

where ρ is the density of the fluid in question, and ρ_water
is the density of liquid water at 4°C. Determine the dynamic viscosity of the 0W20 oil at 40°C and 100°C in mPa-s.