volume of the tyre has increased by 3.3% and the total pressure is 203 kPa. Calculate the temperature in °C of the air inside the tyre. Give your answer to 3 significant figures.
I know this is to do with the Ideal Gas Law, but I don't understand because there is no volume? Please help with working and answer if you can! Thanks!!
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Verified answer
Use the general gas equation
P1V1/T1 = P2V2/T2
Here, P1 = 189 kPa; V1 = V (say); T1 = 273 + 21.8 = 294.8K
P2 = 203kPa; V2 = V + (3.3/100) V = 1.033V; T2 = ?
Substituting the above values in the gas equation, we get
189 x V/294.8 = 203 x 1.033V/T2
OR T2 = 203 x 1.033V x 294.8/189 x V = 327K = 54 °C
you are able to no longer go incorrect with 32 psi. do no longer run the highest, it is way too plenty air except your automobile weighs as plenty because of the fact the the tire says it is rated for on the max psi. each person continually sees the "Max inflation forty 4 psi" yet they under no circumstances seem to work out what follows, "at 1500 lbs" or notwithstanding the load score may be for that tire. IE: if the tire says forty 4 psi at 1500 lbs. that could advise you're able to run forty 4 psi in the journey that your automobile weighs 6000 lbs. Does your automobile weigh 6000 lbs? no longer except it is an F-350 super duty or something of that nature. seem on the load score on the tire, then seem on the gross motor vehicle weight on the door placard on your automobile. that's going to be way decrease than the sum of the 4 tires. once you're searching on the door placard, seem on the psi suggestion. it is going to maximum in all probability say something around 28-30 psi. The producers tend to run them somewhat low because of the fact it makes the motor vehicle holiday smoother yet you will positioned on the tires out quicker. in any case this, you will discover which you will desire to run your tires top around 32 psi, even possibly 35 yet no extra advantageous than that except you're carrying sand bags each the place you're employing.