Chapter 5: Problem 101
The boiling point of liquid nitrogen is \(-196^{\circ} \mathrm{C}\). On the basis of this information alone, do you think nitrogen is an ideal gas?
Short Answer
Expert verified
Based on its boiling point, nitrogen can behave as an ideal gas under room temperature, which is considered a moderate temperature. However, no real gas is truly ideal, they just behave like ideal gases under certain conditions.
Step by step solution
01
Compare the boiling point with standard conditions
First, let's understand the boiling point of nitrogen, which is -196 degrees Celsius. This is extremely cold compared to normal temperatures (Room temperature is usually set as 20 degrees Celsius).
02
Make inference from boiling point
If nitrogen boils at -196 degrees Celsius, it means that at any temperature above this, nitrogen will exist as a gas. This boils down to nitrogen being in its gaseous state at what is moderate temperature to us.
03
Determine if Nitrogen can be considered an ideal gas
Most gases behave like ideal gases at moderate temperatures and pressures, as kinetic molecular theory predicts gas behavior under these conditions. Since nitrogen is a gas at room temperature (which is a moderate temperature), it can behave as an ideal gas. However, it's important to notice that no real gas is truly ideal. They only approach to ideal behavior under certain conditions.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Boiling Point
Understanding the boiling point of a substance is fundamental when studying its properties. The boiling point is the temperature at which a liquid turns into a gas. This occurs when the vapor pressure of a liquid equals the environmental pressure surrounding the liquid. For instance, liquid nitrogen boils at -196 degrees Celsius, which is much cooler than water's boiling point of 100 degrees Celsius at standard atmospheric pressure. The extremely low boiling point of nitrogen suggests that it requires only a minimal amount of energy to transition from its liquid to a gaseous state. In many cases, a lower boiling point indicates weaker intermolecular forces within the liquid, as less heat is needed to overcome these forces and produce a phase change.
In the context of classroom learning, students can correlate boiling points to everyday experiences, like observing water boil at 100 degrees Celsius on the stove, thus setting a tangible reference point for interpreting the much lower boiling point of liquid nitrogen. These comparative discussions can make the concept more digestible.
In the context of classroom learning, students can correlate boiling points to everyday experiences, like observing water boil at 100 degrees Celsius on the stove, thus setting a tangible reference point for interpreting the much lower boiling point of liquid nitrogen. These comparative discussions can make the concept more digestible.
Kinetic Molecular Theory
Kinetic Molecular Theory (KMT) provides a conceptual framework for understanding the behavior of gases. According to KMT, gas particles are in constant motion and exhibit perfectly elastic collisions, meaning they don’t lose energy when they collide with each other or the walls of their container. Temperature is a measure of the average kinetic energy of the particles, and this relates to the states of matter: solid, liquid, and gas.
The theory also implies that particles in a gas do not have significant attractive or repulsive forces. In an educational setting, breaking down KMT into its basic principles, such as 'particles are always moving' and 'higher temperature means faster moving particles,' helps cement students' comprehension. It's pertinent that students grasp the connection between particle motion and temperature, as it's foundational to thermodynamics and the study of heat transfer in science and engineering.
The theory also implies that particles in a gas do not have significant attractive or repulsive forces. In an educational setting, breaking down KMT into its basic principles, such as 'particles are always moving' and 'higher temperature means faster moving particles,' helps cement students' comprehension. It's pertinent that students grasp the connection between particle motion and temperature, as it's foundational to thermodynamics and the study of heat transfer in science and engineering.
States of Matter
The states of matter—solid, liquid, and gas—are distinguished by differences in the arrangement and energy of particles within a material. In solids, particles are packed tightly in a fixed structure and only vibrate in place. Liquids have particles that are close together but can slide past one another, while gases have particles that are far apart and move freely and rapidly.
To make the concept of states of matter more palatable for students, utilizing visuals like particle diagrams can be highly effective. Demonstrating with experiments, like freezing water or boiling it to create steam, provides concrete examples of how matter changes phase based on temperature and pressure conditions. Such practical illustrations serve to solidify the students' understanding and retention of the material.
To make the concept of states of matter more palatable for students, utilizing visuals like particle diagrams can be highly effective. Demonstrating with experiments, like freezing water or boiling it to create steam, provides concrete examples of how matter changes phase based on temperature and pressure conditions. Such practical illustrations serve to solidify the students' understanding and retention of the material.
Gas Behavior
Gas behavior can be predicted using the gas laws, which emerge from the kinetic molecular theory. Real gases closely follow these laws under many conditions, but especially when they are at high temperatures and low pressures. This is where the concept of an ideal gas comes into play—an ideal gas is a theoretical model that allows us to predict the behavior of real gases under most conditions.
For example, nitrogen gas is considered to behave ideally at room temperature, which is based on its ability to conform to the assumptions of the kinetic molecular theory at such a moderate temperature. When teaching gas behavior, focusing on how real gases differ from ideal gases might offer a deeper understanding. Students should be aware that conditions such as extreme temperatures or high pressures can cause deviations from ideal behavior because factors like intermolecular forces become significant. It's helpful for students to work with different gases in a lab setting, if possible, to observe these behaviors firsthand.
For example, nitrogen gas is considered to behave ideally at room temperature, which is based on its ability to conform to the assumptions of the kinetic molecular theory at such a moderate temperature. When teaching gas behavior, focusing on how real gases differ from ideal gases might offer a deeper understanding. Students should be aware that conditions such as extreme temperatures or high pressures can cause deviations from ideal behavior because factors like intermolecular forces become significant. It's helpful for students to work with different gases in a lab setting, if possible, to observe these behaviors firsthand.