You are performing an experiment aimed at measuring the constant volume molar he

Question

You are performing an experiment aimed at measuring the constant volume molar heat capacity (i.e. c_um) of some sample. You perform the experiment on one mole. The experiment consists of transferring heat into the sample and measuring its change in temperature. The result of the experiment is shown in the figure to the right. (a) Is the specific heat of the sample constant throughout the whole range of temperatures? Explain why it is or why it is not. (b) Find the specific heat of the sample. (c) Find the number of active modes per atom or molecule in the sample. (d) Can you tell the physical state of the sample you are dealing with (i.e. solid, liquid, gas)? If it is a gas make sure to specify what kind of gas (i.e monoatomic, diatomic). (e) For a system in the physical state found in part (d) find the number of active modes per atom or molecule predicted by the particle model of matter. Show that what you find is in agreement with the answer to part (c).

Explanation / Answer

A) Yes, specific heat is energy given to unit mole for unit change in temperature.

Here we can see the slope is constant. So special heat is constant.

B) specific heat = dQ/dT

= (9972-6806)/(400-273)

= 24.93 J/(mol.K)

C) f/2 R = 24.93

f = 24.93*2/8.3

= 6 answer

D) It is triatomic gas because of having such a large degree of freedom , it is triatomic as we can see that degree of freedom is 6.

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