Concept explainers
(a)
The final gauge pressure of the tire.
(a)
Explanation of Solution
Given:
Initial gauge pressure is
Initial temperature of tire is
Final temperature of tire is
The atmospheric pressure is
Formula used:
Write the expression for ideal-
Rearrange the above expression in term of
Here,
Write the expression for gauge pressure.
Here,
Calculation:
Calculate the initial pressure of gas.
Convert the initial temperature from
Convert the final temperature from
Substitute
for
Substitute
Conclusion:
Thus, the final gauge pressure of tire is
(b)
The final gauge pressure of the tire.
(b)
Explanation of Solution
Given:
Initial gauge pressure is
Initial temperature of tire is
Final temperature of tire is
The atmospheric pressure is
The increase in volume is
Formula used:
Write the expression for ideal-gas law.
The initial and final volume of gas is equal.
Rearrange the above expression in term of
Here,
Write the expression for gauge pressure.
Here,
Calculation:
Calculate the initial pressure of gas.
Convert the initial temperature from
Convert the final temperature from
Calculate the final volume in term of initial volume.
Substitute
for
Substitute
Conclusion:
Thus, the final gauge pressure of tire is
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Chapter 17 Solutions
Physics for Scientists and Engineers, Vol. 3
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