Finding molecular weight from specific heat at constant volume

In summary, to find the molecular weight from specific heat at constant volume, the equation MW = (R*T)/Cv can be used. This is significant in determining the identity of a substance and calculating other thermodynamic properties. Specific heat at constant volume can be measured experimentally using calorimetry, and it differs from specific heat at constant pressure, which is usually larger due to the work done against the surroundings. The molecular weight can also be calculated using specific heat at constant pressure with the equation MW = (R*T)/(Cp-Cv).
  • #1
TheTourist
25
0
The specific heat at constant volume of an unknown solid is measured at high temperature to be 319.5Jkg-1K-1. Estimate its molecular weight.



Cv=3R




Attempt.
I used the above equation to get a mass of the solid to be 0.0128kg but I have no idea of what to do next!
 
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  • #2
TheTourist said:
I used the above equation to get a mass of the solid to be 0.0128kg but I have no idea of what to do next!

How did you calculate this? (Please include your units.)
 

1. How do you find the molecular weight from specific heat at constant volume?

To find the molecular weight from specific heat at constant volume, you can use the equation: MW = (R*T)/Cv, where MW is the molecular weight, R is the gas constant, T is the temperature in Kelvin, and Cv is the specific heat at constant volume.

2. What is the significance of finding molecular weight from specific heat at constant volume?

Finding the molecular weight from specific heat at constant volume is important in determining the identity of a substance, as different molecules have different molecular weights. It can also be used to calculate other thermodynamic properties of a substance.

3. Can specific heat at constant volume be measured experimentally?

Yes, specific heat at constant volume can be measured experimentally using calorimetry. This involves measuring the heat transfer between a substance and its surroundings at constant volume and using the equation Q = m*Cv*ΔT, where Q is the heat transferred, m is the mass of the substance, Cv is the specific heat at constant volume, and ΔT is the change in temperature.

4. How does the specific heat at constant volume differ from specific heat at constant pressure?

The specific heat at constant volume (Cv) is the amount of heat required to raise the temperature of a substance by 1 degree at constant volume, while the specific heat at constant pressure (Cp) is the amount of heat required to raise the temperature of a substance by 1 degree at constant pressure. Cp is usually larger than Cv due to the work done by the substance against its surroundings at constant pressure.

5. Can the molecular weight be calculated using specific heat at constant pressure?

Yes, the molecular weight can also be calculated using specific heat at constant pressure using the equation: MW = (R*T)/(Cp-Cv), where R is the gas constant, T is the temperature in Kelvin, and Cp and Cv are the specific heats at constant pressure and volume, respectively.

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