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The pressure in an automobile tire is 204 kPa at 29 C. At the end of a trip on a hot sunny day, the pressure has risen to 300 kPa. What is the temperature of the air in the tire

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Answer:

The temperature of the air in the tire is 171°C

Explanation:

Let's apply the Gay Lussac law to solve this, where at constant volume, the pressures varies directly proportional to absolute T°

P₁ / T₁ = P₂ / T₂

29°C + 273 = 302K

204kPa / 302K = 300kPa / T₂

0.675 = 300kPa / T₂

T₂ = 300kPa / 0.675 = 444K

444 K - 273 = 171°C

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