Heat Capacity/Liquid phase Question

This forum made possible through the generous support of SDN members, donors, and sponsors. Thank you.

medemic

Full Member
10+ Year Member
Joined
Aug 18, 2010
Messages
150
Reaction score
0
Points
0
Advertisement - Members don't see this ad
Why is the heat capacity for molecules in the liquid phase greater than the heat capacity for molecules in their solid or gaseous state?
 
Solid has only vibrational motion. Liquid has both vibrational and translational motion. Gas has only trasnlational motion
 
Solid has only vibrational motion. Liquid has both vibrational and translational motion. Gas has only trasnlational motion

I believe this is incorrect. Gas has vibrational, rotational, and translational. Liquids and gases have the same energy types (why they are both fluids) but liquids have less translational energy.
 
Really? Thats what TBR said in gchem book 2 pg76 in my version. Right above Example 7.9
 
Really? Thats what TBR said in gchem book 2 pg76 in my version. Right above Example 7.9

Seems like a gross oversimplification to me. Gas particles definitely have more than simply translational energy.

I would go with - fluids allow vibrational, rotational, and translation movements (which you can see as 'places' to put the heat energy), as do gases. However, the much larger IMFs present in the fluid phase require more energy to be input in order to increase the translational energy of the particles. This means that it takes more energy to increase the temperature, aka fluids have a higher heat capacity. After all, this is the usual justification for the high heat capacity of water -- the hydrogen bonding = strong IMFs = higher heat capacity.

Solids only allow for vibrational energies, and so there are fewer 'places' to store energy than in the other phases.
 
This .pdf had a great explanation, for anyone who wants to get the gist of it. It's basically what mehc012 said.^^

"The question now arises, why does liquid water have a higher heat capacity than ice?

Temperature is closely related to the kinetic energy (velocity), but there are other interactions at work in matter. For example, water molecules in liquid form have rotational energy, whereas they are more static in ice. Additionally, hydrogen bonds in water can stretch and rotate, and protons themselves can be exchanged between water molecules. When energy is added to liquid water, it can be absorbed by all of these additional interactions not found in ice. In short, there are other places for the energy to go besides kinetic energy. Thus, raising the temperature of liquid water requires more energy than raising the temperature of ice. What about water vapor? The justification just employed makes sense for this phase of water, too, namely because hydrogen bonds are not present in water vapor. In fact, the difference in heat capacities of water in its different phases can give you some idea about how important hydrogen bonding is in liquid water.

To summarize, the heat capacity is related to the number of internal degrees of freedom of a substance. If a substance has a large number of internal degrees of freedom (e.g. bond stretching, bond rotation, etc.), it will tend to have a higher heat capacity than a substance with a lower number of degrees of freedom. This is because heat added to a system increases not only kinetic energy but bond vibration and rotation as well."
 
Top Bottom