Question

A gas at $25^{\circ} \mathrm{C}$ and atmospheric pressure fills a cylinder. The gas is transferred to a new cylinder with three times the volume, after which the pressure is half the original pressure. What is the new temperature of the gas in $^{\circ} \mathrm{C} ?$

Name: Problem 43, Chapter 16: Physics for Scientist and Engineers: A Strategic Approach
Uploaded: 2020-06-07T11:25:48-08:00
Duration: 1 min 41 s
Channel: Mayukh Banik
Description: A gas at 25^∘ C and atmospheric pressure fills a cylinder. The gas is transferred to a new cylinder with three times the volume, after which the pressure is half the original pressure. What is the new temperature of the gas in ^∘ C ?

   A gas at $25^{\circ} \mathrm{C}$ and atmospheric pressure fills a cylinder. The gas is transferred to a new cylinder with three times the volume, after which the pressure is half the original pressure. What is the new temperature of the gas in $^{\circ} \mathrm{C} ?$

Physics for Scientist and Engineers: A Strategic Approach

Randall Knight 2nd Edition

Chapter 16, Problem 43

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Solved by Expert Mayukh Banik

06/07/2020

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The initial pressure $P_1$ is atmospheric pressure, and the initial volume $V_1$ is the volume of the original cylinder. Show more…

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A gas at $25^{\circ} \mathrm{C}$ and atmospheric pressure fills a cylinder. The gas is transferred to a new cylinder with three times the volume, after which the pressure is half the original pressure. What is the new temperature of the gas in $^{\circ} \mathrm{C} ?$

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Key Concepts

Combined Gas Law

This law is a combination of Boyle's, Charles's, and Gay-Lussac's laws, and it relates the pressure, volume, and temperature of a fixed amount of gas when those conditions change. It is expressed as (P1 × V1)/T1 = (P2 × V2)/T2 and is useful for solving problems where multiple state variables change simultaneously.

Temperature Unit Conversion

Temperature conversion between Celsius and Kelvin is crucial when applying gas laws, as the gas constant in the ideal gas law is calibrated for absolute temperature measured in Kelvin. Converting Celsius to Kelvin involves adding 273.15, ensuring accurate computations in thermodynamic equations.

Ideal Gas Law

This law describes the relationship between pressure, volume, temperature, and the number of moles of a gas through the equation PV = nRT. It forms the basis for understanding how changes in one property affect the others, assuming a fixed amount of gas and a constant value for the gas constant.

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