Calculating Moles and Net Heat in an Ideal Gas Cycle

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The discussion revolves around calculating the number of moles and net heat in an ideal gas undergoing a cyclic process. The user initially miscalculated the number of moles using the ideal gas law, pV = nRT, and received an incorrect result. They also expressed confusion about determining the net heat added during the cycle, seeking clarification on the First Law of Thermodynamics. A suggestion was made to consider the units of pressure and to calculate net heat as the area bounded by the process lines on a graph. Understanding these concepts is crucial for accurately solving the problem.
[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)

dQ = dU + dW

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 KN/m_2 and not N/m_2
 
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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