Question

A car tire has a recommended rating of 2.518 atm. While parked, the tire has at the temperature of 11.0°C, inflated to a volume of 10,4 L and with a pressure of 2.109 atm. When driving on a hot day, the tire warms to 62.0.Cand its volume expands to 10.9 L a) Assuming there are the same molecules in the tire (n is constant) Does the pressure in the tire exceed its recommended rating on the hot day? b) Find the number of moles in the tire c) Convert your answer in A to mmHg d) Knowing the number of mols in the tire use the ideal Gas law to calculate the final pressure at 62 C, is it the same as your answer in A e) While parked (11 C) you inflated the tire to 2.38 atm assuming there is no temperature change what is the new volume of the tire? 1) Once you finish your drive, the tire temperature is 62 6C, after 10 minutes of being parked the temperature of the tire is now 58°C assuming your tire volume does not change what is the new pressure of the tire? (get the original pressure form C) B) You are driving and hit a pothole at full speed, your tire volume momentarily changes from 10.9 to 10.7 Liters. What was your tire pressure when you hit the pothole? Use your initial pressure from answer A and assume there was no temperature change. h) If the atmospheric composition is: Nitrogen (78.1%), Oxygen (20.9%), Argon (0.93%), Carbon Dioxide (0.04%). From your answer ine What is the partial pressure of each of the gases in your tire?

Answer 1

Pi=Initial pressure= 2.109 atm PVi P2 V2 T2 a Volume V 99 0 4L Temperatire -+27) Final pressure P2 x 10 9 335 2 109 L0 29 284K 284 P2 /2.109x 10. x 335 V2 285 x10.9 = 10.9L Volume Temperature -62+23)c 335K T2 2. 365 atm No. the presswre of the tire dees not enceed the recommemdid raing PV nRT PV RT (b) 2.09 x 10.L 00821 x 284 0 94 m 7974 mm of Ha 2.365 atm 2. 365 x 760 Mm O1941x0 0821x 335 I0 9 MRT P = 2.374 atn The final presswre i's almost same At Constant temporalie, 2.518x 10 L4 oy V2 2.38 x V2 =(2.518 X 10 4) 2.38 .00 L The nuo voume is I1 L