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Starting out on a trip into the mountain...

Starting out on a trip into the mountains, you inflate the tires on your automobile to a recommended pressure of `3.21 xx 10^(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

`3.5 xx 10^(5) Pa`

D

`3.5 Pa`

Text Solution

Verified by Experts

The correct Answer is:
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))`
`=3.21 xx 10^(5)Pa xx (V_i)/(1.03V_(i))xx ((273+28.0))/((273-5.00))= 3.0 xx 10^(5)Pa`.
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