Find the molar specific heat for each gas.

In summary, the question is asking to find the molar specific heat for each gas in a mixture of two ideal gases, one being atomic and the other being two atomic, which are put in a 1 liter calorimeter and given 10J of thermal energy resulting in a temperature increase of 14.2 K. The equation used to solve for this is n=0.419 from the formula pV=nRT, and the molar specific heat is represented by delta U and can be calculated using the formula C_v = (3/2)(f/2)R in classical statistical mechanics. The question is unclear as to what the specific problem being encountered is.
  • #1
MaiteB
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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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  • #2
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.
 

1. What is molar specific heat?

Molar specific heat is the amount of heat required to raise the temperature of one mole of a substance by one degree Celsius.

2. How is molar specific heat calculated?

Molar specific heat can be calculated by dividing the amount of heat (in joules) by the mass of the substance (in moles) and the change in temperature (in degrees Celsius).

3. Why is molar specific heat important?

Molar specific heat is important because it helps determine the amount of energy needed to raise the temperature of a substance, which is useful in various scientific applications such as in thermodynamics and calorimetry.

4. How does molar specific heat differ between gases?

Molar specific heat may differ between gases due to the type of gas and its molecular structure. For example, monatomic gases have a higher molar specific heat compared to diatomic gases.

5. How is molar specific heat related to temperature?

Generally, molar specific heat is directly proportional to temperature, meaning that as temperature increases, so does the molar specific heat. This is because higher temperatures require more energy to raise the temperature of the substance.

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