The tire is inflated (while cold) to a volume of 11.8 l and a gauge pressure of 36.0 psi (note: the gauge pressure is the difference between the total pressure and atmospheric pressure. in this case, assume that atmospheric pressure is 14.7 psi.) at a temperature of 12.0 ∘c. while driving on a hot day, the tire warms to 65.0 ∘c and its volume expands to 12.2 l. what is the total pressure (gauge pressure + atmospheric pressure) in the tire after warming on a hot day?

The total pressure is 58.2 atm

Explanation:

Step 1: Data given

The tire is inflated to a volume of 11.8 L and a gauge pressure of 36.0 psi

Atmospheric pressure is 14.7 psi, at a temperature of 12.0 °C

When the tire warms to 65.0 °C, it's volume expands to 12.2 L

Step 2: Calculate total pressure

Gauge pressure =  total pressure – atmospheric pressure

Total pressure  =  gauge pressure + atmospheric pressure

Total pressure in 11.8 liter volume = 36.0 atm + 14.7 atm = 50.7 atm

Step 3: Calculate pressure after temperature rise

Temperature = 12°C + 273 = 285 K

The tire warms to 65.0 ∘C = 273 + 65 = 338 K

P1V1/T1 = P2V2/T2

50.7 atm*(11.8 liters)/ 285 K = P2(12.2 liters)/338 K

P2 =  50.7(11.8)*(338) / 285*(12.2)

P2 = 58.2 atm  

Total pressure = 58.2 atm

Step 4: Calculate gauge pressure

Gauge pressure = 58.2 atm – 14.7 atm = 43.5 atm

The total pressure is 58.2 atm

mechanics (greek   is that area of science concerned with the behaviour of physical bodies when subjected to forces or displacements, and the subsequent effects of the bodies on their environment. the scientific discipline has its origins in ancient greece with the writings of aristotle and archimedes[1][2][3] (see history of classical mechanics and timeline of classical mechanics). during the early modern period, scientists such as galileo, kepler, and newton laid the foundation for what is now known as classical mechanics. it is a branch of classical physics that deals with particles that are either at rest or are moving with velocities significantly less than the speed of light. it can also be defined as a branch of science which deals with the motion of and forces on objects. the field is yet less widely understood in terms of quantum theory.

explanation:

false

because it does not have the potential to be entirely used up