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

Answer:

• 414K

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:

          $\dfrac{P_1}{T_{1}}=\dfrac{P_2}{T_2}$

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

• 32ºC = 32 + 273.15 K = 305.15K

Then solve for T₂, substitute and compute:

        $T_2=P_2\times \dfrac{T_1}{P_{1}}=225kPa\times \dfrac{305.15K}{188kPa}$

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