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?

Options

A. 350 Pa
B. 3500 Pa
C. `3.5 x× 10^(5)` Pa
D. 3.5 Pa

Answer

C

Explanation

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))/(1.03 V_(i)) xx ((273 + 28.0))/((273 - 5.00)) = 3.50 xx 10^(5)` Pa