Question

The temperature is -14°C the air pressure in an automobile tire is 149K PA if the volume does not change what is the pressure after the tire is heated to 17.3°C

Answer 1

Answer: The pressure after the tire is heated to 17.3°C is 167 kPa

Step-by-step explanation:

To calculate the final temperature of the system, we use the equation given by Gay-Lussac Law. This law states that pressure of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(P_1)/(T_1)=(P_2)/(T_2)`

where,

`P_1\text{ and }T_1` are the initial pressure and temperature of the gas.

`P_2\text{ and }T_2` are the final pressure and temperature of the gas.

We are given:

`P_1=149kPa\\T_1=-14^0C=(273-14)=259K\\P_2=?=27.5psi\\T_2=17.3^0C=(273+17.3)=290.3K`

Putting values in above equation, we get:

`(149)/(259)=(P_2)/(290.3)\\\\P_2=167kPa`

Hence, the pressure after the tire is heated to 17.3°C is 167 kPa