Maximizing Expansion: Understanding Heat's Impact on Gas Expansion Rates

[mtanti]

I'de like to know if gases expand differently with the same amount of increase in heat. If so which is the one which expands most and by how much?
10x!

 

[brewnog]

You may want to read up on the Gas Law...

 

[Gokul43201]

In particular, the relative increase in volume

\frac {\Delta V}{V_0} = \frac{\Delta T}{T_0} \approx \frac {Q}{C_p T_0}~~\alpha ~~\frac{1}{C_p} for a given amt of heat.

 

[so-crates]

As Gokul indicated it depends in Cp, the heat capacity of the gas. The heat capacity depends on the degrees of freedom of the gas molecule. This in turns depends on the complexity of the structure of the gas. Diatomic gases for instance, have higher heat capacities than monatomic gases. Heat capacity also increase with the mass of the molecules. This is due to the fact that temperature at the molecular level is really vibrational and rotational energies of the molecules, which increases with the increasing moment of inertia of the molecules.