Question

The pressure in a car tire is 178 kPa at 37°C. After a long drive, the pressure is 275 kPa. What is

the new temp of the air in the tire, assuming the volume is constant?

Answer 1

T₂ = 478.93 K

Step-by-step explanation:

Given that,

Initial pressure, P₁ = 178 kPa

Initial temperature, T₁ = 37°C = 310 K

Final pressure, P₂ = 275 kPa

We need to find the new temp of the air in the tire, assuming the volume is constant. We know that,

`(P_1)/(T_1)=(P_2)/(T_2)\\\\T_2=(P_2T_1)/(P_1)\\\\T_2=(275* 310)/(178)\\\\T_2=478.93 K`

So, the new temperature is equal to 478.93 K.