An oil of unknown viscosity index has a redwood viscosity of 64 s at 210 °F and 564 s at 100 °F. The low-viscosity standard (Gulf oil) possess a redwood viscosity of 64 s at 210 °F and 774 s at 100 °F. The high-viscosity standard (Pennsylvanian oil) has a redwood viscosity of 64 s at 210 °F and 414 s at 100 °F. Calculate the viscosity index of the unknown oil.
Question
An oil of unknown viscosity index has a redwood viscosity of 64 s at 210 °F and 564 s at 100 °F. The low-viscosity standard (Gulf oil) possess a redwood viscosity of 64 s at 210 °F and 774 s at 100 °F. The high-viscosity standard (Pennsylvanian oil) has a redwood viscosity of 64 s at 210 °F and 414 s at 100 °F. Calculate the viscosity index of the unknown oil.
Solution
The Viscosity Index (VI) is a measure of the change of viscosity with temperature. The higher the VI, the less the viscosity changes with temperature. The VI is calculated using the following formula:
VI = [(L - U) / (L - H)] * 100
where:
- L is the viscosity of the low-viscosity standard oil at 100 °F,
- U is the viscosity of the unknown oil at 100 °F,
- H is the viscosity of the high-viscosity standard oil at 100 °F.
Given in the problem:
- L = 774 s,
- U = 564 s,
- H = 414 s.
Substitute these values into the formula:
VI = [(774 - 564) / (774 - 414)] * 100 VI = [210 / 360] * 100 VI = 0.5833 * 100 VI = 58.33
So, the Viscosity Index of the unknown oil is approximately 58.33.
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