A car tire is filled with air at pressure 325000 pa at 303 K. When the tire cools, its pressure reduces to 299000 Pa. What is the new temperature of the tire?

new temperature of the tire will be 278.76 K

Explanation:

when the temperature increases, the particles will have greater kinetic energy and also the pressure will be increase for the gas particles.

so when the temperature increases, pressure will also increase and vice versa

T is directly proportional to P

T1 = initial temperature = 303 k

P1 = Initial pressure = 325000 pa

T2 = Final temperature=?

P2 = Final pressure = 299000 pa

mathematically

P1/T1 = P2/T2

T2 = P2 x T1/P1

T2 = 299000 x 303 / 325000 = 278.76 k

278.76 K

Explanation:

When the tire is filled:

Pressure = P1 = 325000 Pa

Temperature = T1 = 303 K

When the tire cools:

P2 = 299000 Pa

T2 = ?

Solution:

Pressure is directly proportional to absolute temperature. Using pressure temperature relation:

P1/T1 = P2/T2

T2 = P2 x T1/P1

= 299000 x (303/325000)

T2 = 278.76 K