A bicycle tire is inflated to a pressure of 3.74 atm at 15^∘ C. If the tire is heated to 35^∘ C

Name: Problem 41, Chapter 10: Chemistry: The Molecular Science
Uploaded: 2021-08-23T01:23:00-08:00
Duration: 1 min 9 s
Channel: Nicole Smina
Description: A bicycle tire is inflated to a pressure of 3.74 atm at 15^∘ C. If the tire is heated to 35^∘ C, what is the pressure in the tire? Assume the tire volume doesn't change.

step 1 So we're going to use Gay -Lussach's law, P1 over T1 is equal to P2 over T2. Pressure and temper

Question

A bicycle tire is inflated to a pressure of $3.74 \mathrm{~atm}$ at $15^{\circ} \mathrm{C}$. If the tire is heated to $35^{\circ} \mathrm{C}$, what is the pressure in the tire? Assume the tire volume doesn't change.

   A bicycle tire is inflated to a pressure of $3.74 \mathrm{~atm}$ at $15^{\circ} \mathrm{C}$. If the tire is heated to $35^{\circ} \mathrm{C}$, what is the pressure in the tire? Assume the tire volume doesn't change.

Chemistry: The Molecular Science

John W. Moore,… 4th Edition

Chapter 10, Problem 41

Instant Answer

Solved by Expert Nicole Smina

08/23/2021

Step 1

74 \mathrm{~atm}$, the initial temperature $T_1$ is $15^{\circ} \mathrm{C}$, and the final temperature $T_2$ is $35^{\circ} \mathrm{C}$. We are asked to find the final pressure $P_2$. We can use the Gay-Lussac's law which states that the pressure of a gas is Show more…

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A bicycle tire is inflated to a pressure of $3.74 \mathrm{~atm}$ at $15^{\circ} \mathrm{C}$. If the tire is heated to $35^{\circ} \mathrm{C}$, what is the pressure in the tire? Assume the tire volume doesn't change.

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Key Concepts

Gay-Lussac's Law

This law describes the direct relationship between the pressure and the absolute temperature of a gas when the volume is held constant. In other words, if the temperature (in Kelvin) increases, the pressure increases proportionally, and vice versa. It is fundamental in understanding how gases behave under thermal changes when confined to a fixed volume.

Absolute Temperature (Kelvin Scale)

Using the Kelvin scale is essential in thermodynamic calculations because it represents temperature starting from absolute zero, ensuring that all temperature values are positive. Converting temperatures from Celsius to Kelvin allows accurate application of gas laws, as these laws require an absolute temperature measurement to maintain consistency in calculations.

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