A bicycle tire has an internal volume of 1.52 I. and contains 0.406 mol of air. The tire will bu

Name: Problem 60, Chapter 12: Chemistry and Chemical Reactivity
Uploaded: 2020-07-08T20:19:19-08:00
Duration: 1 min 19 s
Channel: Anatole Borisov
Description: A bicycle tire has an internal volume of 1.52 I. and contains 0.406 mol of air. The tire will burst if its internal pressure reaches 7.25 atm. To what temperature, in degrees Celsius, does the air in the tire need to be heated to cause a blowout?

step 1 So once you read past the details of the question, this actually becomes a really simple questio

Question

A bicycle tire has an internal volume of $1.52 \mathrm{I}$. and contains 0.406 mol of air. The tire will burst if its internal pressure reaches 7.25 atm. To what temperature, in degrees Celsius, does the air in the tire need to be heated to cause a blowout?

   A bicycle tire has an internal volume of $1.52 \mathrm{I}$. and contains 0.406 mol of air. The tire will burst if its internal pressure reaches 7.25 atm. To what temperature, in degrees Celsius, does the air in the tire need to be heated to cause a blowout?

Chemistry and Chemical Reactivity

John C. Kotz, Paul… 6th Edition

Chapter 12, Problem 60

Instant Answer

Solved by Expert Anatole Borisov

07/08/2020

Step 1

We are asked to find the temperature (T) at which the tire will burst. We can use the ideal gas law equation to solve for T. The ideal gas law equation is: \[PV = nRT\] where R is the ideal gas constant. In this case, we are given P, V, and n, and we are asked Show more…

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A bicycle tire has an internal volume of $1.52 \mathrm{I}$. and contains 0.406 mol of air. The tire will burst if its internal pressure reaches 7.25 atm. To what temperature, in degrees Celsius, does the air in the tire need to be heated to cause a blowout?

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Key Concepts

Ideal Gas Law

The ideal gas law, expressed as PV = nRT, is a fundamental principle in thermodynamics that relates the pressure (P), volume (V), number of moles (n), temperature (T), and the gas constant (R) for an ideal gas. It is used to predict how the state of a gas changes when one or more of these variables are altered, which is essential for analyzing problems involving gas expansion, compression, or heating.

Temperature Conversion

Temperature conversion, particularly between Kelvin and degrees Celsius, is a key concept in thermodynamics. In most gas law calculations, temperature must be expressed in Kelvin to ensure the equations remain valid. After computing the temperature in Kelvin, it may be necessary to convert the result to degrees Celsius by subtracting 273.15 from the Kelvin temperature.

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