- #1
iflabs
- 11
- 0
[SOLVED] Ideal Gas Law Application
One Sunday morning a family takes an automobile trip to Grandma's. At the start of the trip, the temperature is 288K (15C), and the gauge pressure in the tires is 32lb/in^2 (psi). (The gauge pressure is the excess over 14.5 psi, the exterior air pressure.) After an hour's ride over an interstate highway, the gauge pressure in the tires is 38 psi. What is the temperature of the air in the tires, assuming that air behaves as an ideal gas? Neglect any changes in volume of the tires.
PV=nRT
3. After working around with the universal gas law, the forumla I used is: T2=(P2*T1)/P1
T2=(38/32)*288=342K
342-273=69C
The textbook gives the answer 52C. What am I doing wrong? Did I use the wrong units?
Homework Statement
One Sunday morning a family takes an automobile trip to Grandma's. At the start of the trip, the temperature is 288K (15C), and the gauge pressure in the tires is 32lb/in^2 (psi). (The gauge pressure is the excess over 14.5 psi, the exterior air pressure.) After an hour's ride over an interstate highway, the gauge pressure in the tires is 38 psi. What is the temperature of the air in the tires, assuming that air behaves as an ideal gas? Neglect any changes in volume of the tires.
Homework Equations
PV=nRT
The Attempt at a Solution
3. After working around with the universal gas law, the forumla I used is: T2=(P2*T1)/P1
T2=(38/32)*288=342K
342-273=69C
The textbook gives the answer 52C. What am I doing wrong? Did I use the wrong units?
Last edited: