Question

A) Amonton's law expresses the relationship between pressure and temperature. Use Charless law and Boyles law to derive the proportionality relationship between P and T.

B) If a car tire is filled to a pressure of 31.5 lbs/in2 (psi) measured at 72 ∘F, what will be the tire pressure if the tires heat up to 117 ∘F during driving?

Answer 1

The tire pressure will be 51.19 psi

The details calculation are in the paper......
Boyer's Law. Boyer's law state that when temperature is constant then volume is inversely proportional to the pressure. EP-Pressure ovat - 1 Varolume] Charlesslaw; Charie'ss law state that when Pressure is constant then volume is proport tional to the temperature. :. V&T –G) from equation (i) and (ii) we get- 1. Va I [T= temperature] > VEKT ["K is a proportional - constant] - PV =K 크무는 Ki [ When 'v'is constant K = = constant = P =K,T apaT - ( from equation (ri) we can say - Ñ (page-1)

Amonton's Law: Amonton's law state that When volume is constant then pressure is directly proportional to temperature.. :. Рат : PM ay that equation (iv) and (v) are identical. So, we can't prove that amonton's law is the combination of charless and Boyel's law. so, now we a B Data given. P = 31.5 1651 ion (Psi) = initial pressure T =72f = initial temperature Tz = UFF = final temperature P₂ =?= final pressure from the amonton's law we get- . : P2 = 1 / 2 3165 165 1in (Psix litt > Py = 729 -Pz = 51-19 Hoslin (PSC)] & The final pressure will be 151-19 lbs/in" (PS))

Answer 2

You must use the temperature in Kelvins! the answer to b is 34,7 psi