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please answer it all and correct An automobile tire is filled to a gauge pressur

ID: 1526237 • Letter: P

Question

please answer it all and correct

An automobile tire is filled to a gauge pressure of 151 kPa when its temperature is 20 C. (Gauge pressure is the difference between the actual pressure and atmospheric pressure.) After the car has been driven at high speeds, the tire temperature increases to 53 C 1) (a) Assuming that the volume of the tire does not change, and that air behaves as an ideal gas, find the gauge pressure of the air in the tire kPa Submit You currently have 2 submissions for this question. Only 10 submission are allowed. You can make 8 more submissions for this question. 2) (b) Calculate the gauge pressure if the volume of the tire expands by 10% kPa Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

answer1

Given::

initial T =20 C = 293 K

Final T =53 C = 326 K

gauge pressure =151kPa,

actual pressure now can be calculated as

P = 151kPa + 101.325kPa = 252.325kPa

since volume doesnot change therefore using Gay-Lussac's Law;

P1/T1 = P2/T2

252.325/293 = P2/326

P2 = 280.744 kPa