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The octane number of fuel in a mixture of 80% iso-octane and 20% n-heptane in an engine is
- a)20
- b)80
- c)60
- d)4
Correct answer is option 'B'. Can you explain this answer?
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The octane number of fuel in a mixture of 80% iso-octane and 20% n-he...
Octane number is the percentage of isooctane in the mixture of iso-octane and n-heptane. The octane number is for gasoline (petrol) fuel. Gasoline with an octane number of 80 means 80% of isooctane and 20% of n-heptane, i.e., the branched-chain alkane is more, so knocking is less.
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The octane number of fuel in a mixture of 80% iso-octane and 20% n-he...
Understanding Octane Rating
Octane rating is a measure of a fuel's ability to resist knocking during combustion. Higher octane numbers indicate greater resistance to knocking.
Components of the Mixture
- Iso-octane (C8H18): This is a standard reference fuel with an octane rating of 100.
- n-Heptane (C7H16): This has an octane rating of 0.
Calculating the Octane Number
To calculate the octane number of the mixture, we use the formula based on the proportion of the components:
\[
\text{Octane Rating} = (f_1 \times O_1) + (f_2 \times O_2)
\]
Where:
- \( f_1 \) = fraction of iso-octane = 0.80
- \( O_1 \) = octane rating of iso-octane = 100
- \( f_2 \) = fraction of n-heptane = 0.20
- \( O_2 \) = octane rating of n-heptane = 0
Substituting the values:
\[
\text{Octane Rating} = (0.80 \times 100) + (0.20 \times 0) = 80 + 0 = 80
\]
Conclusion
Thus, the octane number of the mixture consisting of 80% iso-octane and 20% n-heptane is 80.
Therefore, the correct answer is option B.
Octane rating is a measure of a fuel's ability to resist knocking during combustion. Higher octane numbers indicate greater resistance to knocking.
Components of the Mixture
- Iso-octane (C8H18): This is a standard reference fuel with an octane rating of 100.
- n-Heptane (C7H16): This has an octane rating of 0.
Calculating the Octane Number
To calculate the octane number of the mixture, we use the formula based on the proportion of the components:
\[
\text{Octane Rating} = (f_1 \times O_1) + (f_2 \times O_2)
\]
Where:
- \( f_1 \) = fraction of iso-octane = 0.80
- \( O_1 \) = octane rating of iso-octane = 100
- \( f_2 \) = fraction of n-heptane = 0.20
- \( O_2 \) = octane rating of n-heptane = 0
Substituting the values:
\[
\text{Octane Rating} = (0.80 \times 100) + (0.20 \times 0) = 80 + 0 = 80
\]
Conclusion
Thus, the octane number of the mixture consisting of 80% iso-octane and 20% n-heptane is 80.
Therefore, the correct answer is option B.
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The octane number of fuel in a mixture of 80% iso-octane and 20% n-heptane in an engine isa)20b)80c)60d)4Correct answer is option 'B'. Can you explain this answer?
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