Question

What is the Kelvin temperature of the air in a tire if the pressure inside the tire is 188 kPa at 32°C. While driving under perilous road conditions on a hot road; the pressure in the tire has increased to 225 kPa.

Answer 1

• 414K

Step-by-step explanation:

The question is not completely clear because some missing parts or grammar (syntax) errors.

Interpreting it, the question is what is the Kelvin temperatue of the air in a tire, when the pressure in the tire has increased to 225 kPa, if the initial conditions of the air inside the tire were 188kPa of pressure and a temperature of 32ºC.

To solve this, you can assume constant volume and use the law of Gay-Lussac for ideal gases:

`(P_1)/(T_(1))=(P_2)/(T_2)`

That equation works with absolute temperatures, i.e. Kelvin.

• 32ºC = 32 + 273.15 K = 305.15K

Then solve for T₂, substitute and compute:

`T_2=P_2* (T_1)/(P_(1))=225kPa* (305.15K)/(188kPa)`

`T_2=413.90K\approx 414K\longleftarrow answer`