An automobile tire is filled with air at a pressure of 27.0 lb/in² at 25°C.A cold front moves through and the temperature drops to 5°C.Assuming no change in volume,what is the new tire pressure? A)5.40 lb/in² B)25.2 lb/in² C)28.9 lb/in² D)135 lb/in² E)4.63 lb/in²

Question

Quizplus · Accepted Answer

We can use the ideal gas law to solve for the new pressure:
P1/T1 = P2/T2
where P1 is the initial pressure (27.0 lb/in²), T1 is the initial temperature in Kelvin (25°C + 273 = 298 K), P2 is the final pressure (what we want to solve for), and T2 is the final temperature in Kelvin (5°C + 273 = 278 K).
Rearranging the equation, we get:
P2 = (P1/T1) x T2
Plugging in the values, we get:
P2 = (27.0 lb/in² / 298 K) x 278 K = 25.2 lb/in²
Therefore, the new tire pressure is 25.2 lb/in², which is answer choice B.

An Automobile Tire Is Filled with Air at a Pressure