Calculating Moles and Net Heat in an Ideal Gas Cycle

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Homework Help Overview

The discussion revolves around calculating moles and net heat in an ideal gas undergoing a cyclic process. The original poster presents a problem involving an ideal gas and expresses difficulty in determining the number of moles and the net heat added during the cycle.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to use the ideal gas law to find the number of moles but arrives at an incorrect answer. Some participants question the validity of the ideal gas law under changing volume conditions and suggest considering the First Law of Thermodynamics for heat calculations.

Discussion Status

Participants are exploring different aspects of the problem, including the application of thermodynamic principles and the importance of unit consistency. There is no explicit consensus yet, but guidance has been offered regarding the First Law of Thermodynamics and the relevance of area calculations for net heat.

Contextual Notes

Participants note potential issues with unit conversions, specifically regarding pressure units, and the original poster's reliance on the textbook for guidance, which is perceived as lacking in this instance.

[rit]panfist
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Hey, my textbook is not helping at all. Here's the problem followed by what I've done on it so far.

A sample of an ideal gas is taken through the cyclic process abca shown in Fig. 20-20; at point a, T = 241 K.

graph:
http://www.webassign.net/hrw/20_20.gif

There are two parts of the question I could not answer. One is how many moles are in the sample? I plugged the values given into pV = nRT, and I got n = .001248. That answer is incorrect.

Secondly, what is the net heat added to the gas during this cycle? I don't know where to begin for this. The textbook is usually very clear, but for some reason doesn't include anything on this.

If anyone could help me get on the right track, I would greatly appreciate it.
 
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Do you know the First Law of Thermodynamics?

(Heat Added to a system) = (Change in Internal Energy of system) + (Work done by system on surroundings)

[tex]dQ = dU + dW[/tex]

Also do you know that at constant volume, dW = 0?

Do you think pV = nRT is valid when V is changing?

Cheers
vivek
 
You should mind your unit. Beware of the pressure which is in [tex]KN/m_2[/tex] and not [tex]N/m_2[/tex]
 
Net heat would be the area bounded by all the 3 lines which is in short the area of the triangle.
 

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