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The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25 °C, the pressure is 310 kPa (absolute pressure). If the volume of the tire is 0.03 m3, determine the pressure rise (ΔP) in the tire when the air temperature in the tire rises to 50 °C. Submit your answer in kPa (enter numerical value only without units).

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xero099

Answer:

335.994

Explanation:

Let consider that volume inside tire remains constant and air behaves as an ideal gas. No leakage exist (number of moles remains constant). The final pressure is calculated by the following formula:

[tex]P_{2} = P_{1} \cdot (\frac{T_{2}}{T_{1}} )\\P_{2} = 310\, kPa \cdot (\frac{323.15\, K}{298.15 \, K} )\\P_{2} = 335.994\,kPa[/tex]

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