Concept explainers
(a)
The density of gasoline on a very hot day (
(a)
Answer to Problem 62PQ
The density of gasoline on a very hot day (
Explanation of Solution
Write the expression for the decreasing density of gasoline.
Here,
Rearrange the equation (I) for
Write the expression for the expansion of volume (Refer Equation 19.5).
Here,
Write the expression for the original density of gasoline.
Here,
Conclusion:
Substitute equation (II) in the equation (IV) and replace
Substitute equation (III) in above equation.
Here,
Convert initial temperature of the gas into degree Celsius.
Convert final temperature of the gas into degree Celsius.
Substitute
Therefore, the density of gasoline on a very hot day (
(b)
The mass of the gasoline purchased at a temperature of
(b)
Answer to Problem 62PQ
The mass of the gasoline purchased at a temperature of
Explanation of Solution
Rearrange the equation (IV) from part (a) for
Conclusion:
Substitute
Therefore, the mass of the gasoline purchased at a temperature of
(c)
The mass of the gasoline purchased at a temperature of
(c)
Answer to Problem 62PQ
The mass of the gasoline purchased at a temperature of
Explanation of Solution
Rearrange the equation (IV) from part (a) for
Conclusion:
Substitute
Therefore, the mass of the gasoline purchased at a temperature of
(d)
The amount of money did a consumer lose by buying gasoline on a very hot day.
(d)
Answer to Problem 62PQ
The amount of money did a consumer lose by buying gasoline on a very hot day is
Explanation of Solution
Since the consumer spent $30 for the 12 gallons of fuel, but on the hot day received 0.6 kg less compared to the 33.5 kg expected or 1.8% less.
Conclusion:
Hence, they lost about 1.8% of the $30 gas bill about
Therefore, the amount of money did a consumer lose by buying gasoline on a very hot day is
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Chapter 19 Solutions
Physics for Scientists and Engineers: Foundations and Connections
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