Concept explainers
The density or gasoline is 7.30 × 102 kg/m3 at 0°C. Its average coefficient of volume expansion is 9.60 × 10−4(°C)−1 and note that 1.00 gal = 0.003 80 m3. (a) Calculate the mass of 10.0 gal of gas at 0°C. (b) If 1.000 m3 of gasoline at 0°C is warmed by 20.0°C, calculate its new volume. (c) Using the answer to part (b), calculate the density of gasoline at 20.0°C. (d) Calculate the mass of 10.0 gal of gas at 20.0°C. (e) How many extra kilograms of gasoline would you get if you bought 10.0 gal of gasoline at 0°C rather than at 20.0°C from a pump that is not temperature compensated?
(a)
Answer to Problem 26P
Explanation of Solution
Given info: The density of gasoline (
Formula to calculate the mass is,
Substitute
Conclusion:
The mass of the gas is 27.7 kg.
(b)
Answer to Problem 26P
Explanation of Solution
Given info: The density of gasoline (
Formula to calculate the volume is,
Substitute
Conclusion:
The new volume is
(c)
Answer to Problem 26P
Explanation of Solution
Given info: The density of gasoline (
Gasoline occupies
Conclusion:
The new density is
(d)
Answer to Problem 26P
Explanation of Solution
Given info: The density of gasoline (
Formula to calculate the new mass is,
Substitute
Conclusion:
The new mass is 27.2 kg.
(e)
Answer to Problem 26P
Explanation of Solution
Given info: The density of gasoline (
Formula to calculate the difference in mass is,
Substitute 27.7 kg for
Conclusion:
The difference in mass is 0.5 kg.
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Chapter 10 Solutions
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