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Ideal Gas Law question.

  • #1
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Homework Statement


Is the ideal gas law, PV = mRT, only applicable to processes which are carried out isothermally? I mean, can it not be applied to a polytropic process, PVn = k.


Homework Equations


See above.


The Attempt at a Solution


N.A.
 

Answers and Replies

  • #2
DrClaude
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Is the ideal gas law, PV = mRT, only applicable to processes which are carried out isothermally?
No. It is an equation of state: it relates P, V, and T (assuming n fixed). It is valid everywhere (you can't have an ideal gas at pressure ##P_1## occupying volume ##V_1##, and measure temperature ##T_1##, and have the same amount of an ideal gas also at ##P_1## and ##V_1## and measure ##T_2 \neq T_1##).

For a polytropic process, the equation only tells you what remains constant during the process. In the formulation ##PV^\gamma = \text{const.}##, then ##T## must change when ##P## and ##V## change, such that ##PV = nRT## is maintained.
 
  • #3
310
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Got it. Thanks for that.
 

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