# Find the molar specific heat for each gas.

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1. May 24, 2015

### MaiteB

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
pV=nRT

3. 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?

2. May 24, 2015

### theodoros.mihos

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.