An oil sample under test has a Saybolt universal viscosity same as standared gulf oil (low viscosity standard) and Pennsylvanian oil (high viscocity standard) at 2100. Their saybalt universal viscocities at 1000F are 50, 750 and 450 respectively. Calculate the viscosity Index of oil sample under test.a.100.33b.58.33c.233.33d.210.33
Question
An oil sample under test has a Saybolt universal viscosity same as standared gulf oil (low viscosity standard) and Pennsylvanian oil (high viscocity standard) at 2100. Their saybalt universal viscocities at 1000F are 50, 750 and 450 respectively. Calculate the viscosity Index of oil sample under test.a.100.33b.58.33c.233.33d.210.33
Solution
The Viscosity Index (VI) is a measure of the change of viscosity with temperature. It is calculated using the following formula:
VI = [(L - U) / (L - H)] * 100
where: L = viscosity of the oil at 100°F (low viscosity standard) U = viscosity of the oil under test at 100°F H = viscosity of the oil at 100°F (high viscosity standard)
Given in the problem: L = 50 (viscosity of standard gulf oil at 100°F) U = 2100 (viscosity of oil sample under test at 100°F) H = 450 (viscosity of Pennsylvanian oil at 100°F)
Substituting these values into the formula:
VI = [(50 - 2100) / (50 - 450)] * 100 VI = [-2050 / -400] * 100 VI = 5.125 * 100 VI = 512.5
However, this result does not match any of the options provided. Please check the problem statement and the provided options.
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