Consider the following gases, all at STP: Ne, SF 6 , N 2 , CH 4 . (g) Which one would have the largest van der Waals b parameter?

Hi everyone for this problem, we want to know which among the gasses below would have the smallest value for its Vander wal's constant B. So we want to know which will have the smallest value. Our Vander wal's constant B accounts for volume. Okay, so when we think of this constant be it accounts for the volume of the particles that the gas actually occupies. So let's take a look at each of our options here individually to see which one is going to have the smallest value for B which essentially is speaking to its volume. So for the first one, C4. H 10. Okay, so this is a chain of atoms. We have carbon and hydrogen, which means it's going to be very large in terms of its volume. And so this we can say is going to have the largest B value Out of our four. Okay, because it's a chain of atoms. Next we have neon neon, this is mon atomic. It's just 11 atom and it has a smaller radius than just oxygen. So we can see that our next thing is 02. So neon has a smaller radius than just oxygen. So that means it's smaller than 02. Okay, so this is going to be smaller than 02. Okay, And for 02, this is next to neon. So it's going to be close but it's going to also be small And then we have in terms of value p three. This one has a central atom phosphorus with three hydrogen surrounding it. So it must be larger than 02. So this one's larger than 02. So, we're looking at size here because size is going to equate to the volume, so because neon has the smallest radius, it's going to have the smallest value for B. So, our answer here is neon and it's because it has the smallest radius. Okay, So because it has the smallest radius, it's going to have the smallest value for the Vander wal's constant B. That's the end of this problem. I hope this was helpful.

Ch.10 - Gases

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Problem 107g

Chapter 10, Problem 107g

Consider the following gases, all at STP: Ne, SF₆, N₂, CH₄. (g) Which one would have the largest van der Waals b parameter?

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Understand that the van der Waals b parameter is related to the volume occupied by the gas molecules themselves. It is larger for gases with larger or more complex molecules.

Identify the molecular weights and structures of the given gases: Ne (Neon), SF_6 (Sulfur hexafluoride), N_2 (Nitrogen), and CH_4 (Methane).

Recognize that SF_6 is a larger and more complex molecule compared to Ne, N_2, and CH_4, due to its six fluorine atoms surrounding a sulfur atom.

Recall that the van der Waals b parameter increases with the size and complexity of the molecule, as larger molecules occupy more space.

Conclude that SF_6, being the largest and most complex molecule among the given gases, would have the largest van der Waals b parameter.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Van der Waals Forces

Van der Waals forces are weak intermolecular forces that arise from temporary dipoles in molecules. These forces include attractions between neutral molecules and are significant in understanding the behavior of gases and liquids. The strength of these forces can influence properties such as boiling points and solubility.

Van der Waals b Parameter

The Van der Waals b parameter represents the volume occupied by one mole of a gas at a given temperature and pressure, accounting for the finite size of gas molecules. A larger b value indicates that the molecules are larger or more complex, leading to greater repulsive interactions. This parameter is crucial for understanding deviations from ideal gas behavior.

STP Conditions

Standard Temperature and Pressure (STP) refers to a set of conditions commonly used in chemistry, defined as 0 degrees Celsius (273.15 K) and 1 atmosphere of pressure. Under these conditions, the behavior of gases can be compared more easily, and properties such as molar volume can be standardized, aiding in the analysis of different gases.

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Consider the following gases, all at STP: Ne, SF6, N2, CH4. (g) Which one would have the largest van der Waals b parameter?

Verified Solution

Key Concepts

Van der Waals Forces

Van der Waals b Parameter

STP Conditions

Consider the following gases, all at STP: Ne, SF₆, N₂, CH₄. (g) Which one would have the largest van der Waals b parameter?