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Chapter 12: Problem 24

How is a gas's pressure related to its temperature, at constant volume?

Short Answer

Expert verified
The pressure of a gas is directly proportional to its temperature at constant volume, as stated by Gay-Lussac's law.

Step by step solution

01

Understanding the Gas Law

The behavior of gases in various conditions is represented by gas laws. Charles's Law, also known as the law of volumes, describes how gases tend to expand when heated. It states that, at a constant pressure, the volume of a gas is directly proportional to its absolute temperature. However, this exercise asks about the relation of pressure and temperature at constant volume, which corresponds more to Gay-Lussac's law.
02

Applying Gay-Lussac's Law

The Gay-Lussac's Law states that the pressure of a gas is directly proportional to the temperature, if volume is kept constant. This means if the temperature of the gas is increased, the pressure also increases. Similarly, if the temperature decreases, the pressure also decreases.
03

Formulating the Equation

The mathematical representation of Gay-Lussac's law is P/T=k, where P is the pressure of the gas, T is the absolute temperature and k is the constant. This formula shows that pressure divided by temperature gives a constant value, indicating their direct relationship.

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Most popular questions from this chapter

The pressure on a 240.0 \(\mathrm{mL}\) sample of helium gas is increased from 0.428 atm to 1.55 atm. What is the new volume, assuming constant temperature?

How many moles of air are in 1.00 \(\mathrm{L}\) at \(-23^{\circ} \mathrm{C}\) and 101 \(\mathrm{kPa}\) ?

How many moles of argon are there in \(20.0 \mathrm{L},\) at \(25^{\circ} \mathrm{C}\) and 96.8 \(\mathrm{kPa}\) ?

Use Charles's law to solve for the missing value in the following. \(V_{1}=80.0 \mathrm{mL}, T_{1}=\) \(27^{\circ} \mathrm{C}, T_{2}=77^{\circ} \mathrm{C}, V_{2}=?\)

How are the volume and pressure of a gas related, if its temperature is kept constant?
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