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Question

Starting out on a trip to the mountains, you inflate the tires on your automobile to a recommended pressure of 3.9×105 Pa on a day when the temperature is 13.0 C. You drive to the beach, where the temperature is 36.0 C. Assume that the volume of the tire has increased by 3%. What is the final pressure of air in the tires?

A
4.50×105 Pa
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B
4.65×105 Pa
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C
3.50×105 Pa
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D
11.1×105 Pa
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Solution

The correct option is A 4.50×105 Pa
Assuming no loss of air, n remains constant.
P1V1RT1=P2V2RT2. [Here, V2=1.03V1
P2=P1×V1V2×T2T1=3.9×105×V11.03V1×309K260K
=4.5×105 Pa

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