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strojnjashka [21]
4 years ago
8

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 peri

lous road conditions on a hot road; the pressure in the tire has increased to 225 kPa.
Chemistry
1 answer:
DENIUS [597]4 years ago
8 0

Answer:

  • <u>414K</u>

Explanation:

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

Interpreting it, the question is <em>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.</em>

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

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