Find the molar specific heat for each gas.

AI Thread Summary
The discussion revolves around calculating the molar specific heat for a mixture of two ideal gases in a calorimeter after adding 10J of thermal energy, resulting in a temperature increase of 14.2 K. The user has calculated the number of moles (n) as 0.419 using the ideal gas law. There is confusion regarding the definition of molar specific heat and its relationship to the heat added. The relevant equation for molar specific heat in classical statistical mechanics is mentioned, but the user seeks clarification on how to apply it to the given problem. Understanding the relationship between internal energy change and the heat added is crucial for solving the problem.
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Homework Statement


A mixture of two ideal gases, the first one atomic and the second two atomic are put in normal conditions in a calorimeter with volume 1 liter hermetically closed. After it is given 10J thermal energy the mixture temperature is grown 14.2 K. Find the molar specific heat for each gas.

Homework Equations


pV=nRT

The Attempt at a Solution


I found the n=0.419 with that formula taking the pressure 1atm).What should I do then? What is molar specific heat? I think it is delta U, but how does it relate to to the 10J heat?
 
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If you have one atomic gas then n=0.042. In classical statistic mechanics molar specific heat for gasses is:
$$ C_v = \left(\frac{\partial{U}}{\partial{T}}\right)_v = \frac{3}{2}\frac{f}{2}R $$
where f is the number of freedom degrees, so don't understand what is the question.
 
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