Starting out on a trip into the mountains, you inflate the tires on your automobile to a recommended pressure of `3.21xx10^(5)` Pa on a day when the temperature is -`5.0^(@)C`. You drive to the beach, where the temperature is `28.0^(@)C`. Assume that the volume of the tire has increased by 3%. What is the final pressure in the tyres?
A
350 Pa
B
3500 Pa
C
`3.5xx10^(5)` Pa
D
None of these
Text Solution
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The correct Answer is:
c
(c) Because the number of moles is constant. `(P_(i)V_(i))/(T_(i))=(P_(f)V_(f))/(T_(f))," "P_(f)=(P_(i)V_(i)T_(f))/(V_(f)T_(i))` `P_(f)=(P_(i)V_(i)T_(f))/(V_(f)T_(i))` `=3.21xx10^(5)Paxx(V_(i))/(1.03V_(i))xx((273+28.0))/((273-5.00))` `=3.50xx10^(5)Pa`
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