An oil sample has the same viscosity as standared naphtnenic and paraffinic type oil at 2100. Their viscocities at 380C are 325 S.U.S., 430 S.U.S and 260 S.U.S respectively. Calculate the viscosity Index of oil.a.33.34b.58.3c.66.78d.61.76
Question
An oil sample has the same viscosity as standared naphtnenic and paraffinic type oil at 2100. Their viscocities at 380C are 325 S.U.S., 430 S.U.S and 260 S.U.S respectively. Calculate the viscosity Index of oil.a.33.34b.58.3c.66.78d.61.76
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 = viscosity of the oil sample at 38°C U = viscosity of the paraffinic oil at 38°C H = viscosity of the naphthenic oil at 38°C
Given in the problem: L = 325 S.U.S U = 430 S.U.S H = 260 S.U.S
Substitute these values into the formula:
VI = [(325 - 430) / (325 - 260)] * 100 VI = [-105 / 65] * 100 VI = -161.54
However, the Viscosity Index cannot be negative. This suggests that there may be an error in the problem as given. The viscosities of the paraffinic and naphthenic oils may have been switched. If we switch them:
U = 260 S.U.S H = 430 S.U.S
Substitute these values into the formula:
VI = [(325 - 260) / (325 - 430)] * 100 VI = [65 / -105] * 100 VI = -61.9
Again, the Viscosity Index cannot be negative. This suggests that there may be an error in the problem as given. None of the provided options match the calculated values. Please check the problem and try again.
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