What Gas Is in the Container Based on Specific Heat Values?

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To determine the unknown gas in the container, the heat capacities at constant pressure (cp = 907.8 J) and constant volume (cv = 648.4 J) are essential. The ratio of these values, gamma (γ = cp/cv), can help identify the type of gas, whether monatomic or diatomic. Ideal gas behavior indicates that monatomic gases like Helium and Argon, and diatomic gases like Nitrogen and Oxygen, have distinct heat capacity ratios. The relationship cp = cv + R, derived from Mayer's equation, is also relevant for calculations. This information provides a solid foundation for identifying the gas based on its heat capacity characteristics.
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Need help!

Ok, I'm having problems with the following question:

A container is filled with an unknown gas. To heat 1 kg of the gas by one degree under the constant pressure one needs 907.8 J, while the same increase of temperature of the gas when the colume is kept constant, needs 648.4 J.

Determine what gas is in the container.


-- if you guys can help point me in the right direction i'd appreciated it!
 
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Well let's see. The 907.8J is related to heat capacity at constant pressure and the 648.4J is related the heat capacity at constant volume. In your Thermo book, since this is a gas, you should see a relation for an ideal gas that states gamma = cp/cv. Depending on this ratio, you can calculate if the gas is monatomic, diatomic, etc... In my book, this is discussed right after Mayer's equation cp = cv + R. Now, there are multiple examples of real world monatomic and diatomic gases. I believe Helium and Argon follow the monatomic model reasonably well, whereas Nitrogen and Oxygen follow the diatomic model well.

Is this enough info to get you started?
 
yep, thanks for your reply
 
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