An automobile tire is filled to a pressure of 240.0 kPa early in the morning when the temperature is 15.0C. After the car is driven all day over hot roads, the tire temperature is 18.0C. Estimate the new pressure.

1 answer
Question:

An automobile tire is filled to a pressure of 240.0 kPa early in the morning when the temperature is 15.0C. After the car is driven all day over hot roads, the tire temperature is 18.0C. Estimate the new pressure.

Answers

Answer: 242.5kPaExplanation:According to one of the gas laws, [tex]\frac{P1}{T1} =\frac{P2}{T2}[/tex]Given P1 = 240.0kPa, T1, 15.0°C, T2 = 18.0°C, P2 = ?Substituting this values into the equation, we have;[tex]\frac{240}{15+273} =\frac{P2}{18+273}\\\frac{240}{288} =\frac{P2}{291}\\[/tex]Cross multiplying we have;288P2 = 240*291[tex]P2 = \frac{240*291}{288} \\P2 = 242.5kPa[/tex]The new pressure is 242.5kPa

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