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# Expansion of gas

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Question:

The volume of 1 mole of an ideal, monoatomic gas which is initially at 2 atm, 25"C, and 12.2L is doubled by the following paths:

a) isothermal expansion;

c) expansion along a path defined by P=0. 2V+b, where p is in atm, Vis in L/mol, and b is a constant.

Assume that all paths are reversible, Calculate the final pressure for each path.

##### Solution Summary

This solution offers step-wise calculations for some thermodynamics problems. A system is examined having isothermal expansion, adiabatic expansion, expansion along a path defined by P=0 and assuming reversible paths. The final pressure for each path is determined.

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State functions and heat capacities for ideal gases
Question
The volume of 1 mole of an ideal , monoatomic gas which is initially at 2 atm , 25"C, and 12.2L is doubled by the following paths:
a) isothermal ...

Solution provided by:
• BSc (Hons),
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###### Recent Feedback
• "Thankyou for the feedback. I have a few question though; With the first statistic about cost below... “According to Sigma-Aldrich catalog, cost of 1L octane is AUD \$ 392.00, whereas the cost of 1L ethanol is AUD \$196.00. Moreover, if ethanol is obtained from sugar industry as a by-product, it may cost even less. Source of oxygen is ambient atmosphere, so it costs nothing. So ethanol is much cheaper than petrol, in fact it is half-priced: AUD \$ (392-196) = \$ 196.” I didn't think it made sense because the cost of petrol per litre is normally a dollar something or even less than a dollar not a couple of hundred of dollars. For example, a statistic that I found in america was: "U.S. ethanol production costs are about \$1.20 per gallon of ethanol, or \$1.82 per gallon on a gasoline-equivalent basis." However, I was wondering whether you could find an Australian statistic. Also, you mentioned that H20 is not a greenhouse gas. However, in the combustion equations it is actually carbon dioxide and water vapour which are produced and they are both greenhouse gases. Finally, how do I calculate the energy efficiency of ethanol and petrol? "
• "Thank you!"
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• "Once again this is tremendous help I can't thank you enough for not only working the problem but explaining in detail how and why!! KR"
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