Air at 10.0 degree C and normal atmospheric pressure is used to inflate the tire

Question

Air at 10.0 degree C and normal atmospheric pressure is used to inflate the tires in an automobile. When inflated to the desired amount, the air inside the tire is compressed to 18.0% of its original volume while the temperature goes up to 47.0 degree C. Determine the value of the tire pressure. The owner of the car drives it at high speed for a while. At the end of the trip the temperature rises to 85.0 degree C and the inner volume of the tire increases by 3.90%. Determine the new absolute tire pressure. Review the values you are using for the initial and final situations. Pa

Explanation / Answer

b)

P1 = 636513 pa

P2 =?

T1 = 47 + 273 = 320 k

T2 = 85 + 273 = 358 k

v1 = v1

v2 = 0.039 V1

from the relation

P1 * V1/ T1 = P1 * V2/ T2

P2 = 18258946.63 pa

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