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Thermal Physics

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Hot goIITian

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10 Feb 2009 16:42:22 IST
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IMP Q--PLZZZZZ HELP---PRB IN ISOTROPIC PROCESSES---GUIDE-RATES ASSURED
None

A MONOTONIC GAS EXPANDS ACCORDING TO PROCESS PT2/5 =CONSTANT............

(A)TEMP. OF GAS INCREASES.

(B)TEMP. OF GAS DECREASES

(C)NO HEAT EXCHANGE WITH GAS

(D)HEAT IS ABSORBED BY GAS

HOW 2 SOLVE SUCH TYPE OF QSTN..........

WAT R THE STEPS TAKEN 2 SOLVE SUCH PRB.........

PLZ SM1 ANS .............

M WAITIN......

SAME Q CAME IN AITS 2 TIMES......MUST B IMP


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Gaurav |spideyunlimited| Ragtah's Avatar

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10 Feb 2009 19:07:56 IST
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PV = nRT

so T2/5  = (PV/nR)2/5

Given: PT2/5 = k (constant)

Upon substition, we get:

P(7/5)V(2/5) = constant
P7V2 = constant
PV2/7 = constant
This is a reversible adiabatic process, so the answer is (C)  no heat exchange with gas


Hot goIITian

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10 Feb 2009 19:11:04 IST
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how are you so sure that it is adiabatic !!!!

Hot goIITian

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10 Feb 2009 19:13:20 IST
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Are all questions of type PVare adiabatic type , please explain your answer ...

 


Hot goIITian

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10 Feb 2009 19:17:43 IST
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Please give answer quickly ...
Gaurav |spideyunlimited| Ragtah's Avatar

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10 Feb 2009 19:21:18 IST
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P.V^gamma = constant is for adiabatic process.

Hot goIITian

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12 Feb 2009 01:25:37 IST
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This is only true if gamma corresponds to a ideal gas !!!!like 1.66 for monoatomic and 1.4 for diatomic

Cool goIITian

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12 Feb 2009 01:34:13 IST
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i wud lyke to corect vivek here...it is not necessary that gamma shud have specific values as u have given..if the given sample is a mixture of gases gamma can have any value which could be 2/7 as in the above process......and certainly solution given by gaurav is perfect...and btw for more clarification refer to HCV part 2 - thermodynamic processes...

Hot goIITian

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12 Feb 2009 01:42:09 IST
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SO DO YOU MEAN THAT FOR EVERY PROCESSES IN WHICH P,V,T ARE LINKED IN POWER TO SOME CONSTANT , THEN IT IS A ADIABATIC PROCESS ????

New kid on the Block

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12 Feb 2009 12:58:14 IST
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no thats not wat he told means. for a mixture of gases, gamma maybe different than the values like 1.66 and 1.4


New kid on the Block

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12 Feb 2009 13:02:08 IST
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n for the question :

 

PT^(2/5) = const

therefore, since PV = nRT,

T^(7/5)/V = constant              this implies that if V increases T also increases        hence A is correct

 

v know that,

del H = del U + del W = nR(del T) + P(del V)

since (del T) is positive and P(del V) can be found out to be +ve, heat is absorbed by the gas... D is also correct


Hot goIITian

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12 Feb 2009 17:36:05 IST
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so , is Mr Spidey wrong ????
Gaurav |spideyunlimited| Ragtah's Avatar

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13 Feb 2009 13:05:13 IST
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Nope, not wrong.. the answer is both B and C..   C as i showed above.. and B as the guy above has shown... Temperature decrease doesn't mean that energy is lost ( in case of adiabatic processes). The temperature decrease is converted into volumetric changes.


Scorching goIITian

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19 Feb 2009 15:41:51 IST
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how is gamma = 2/7
Gaurav |spideyunlimited| Ragtah's Avatar

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19 Feb 2009 15:58:30 IST
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gamma = Cp/Cv = 5/3 for monotonic/monoatomic IDEAL gas

(check wiki:  http://en.wikipedia.org/wiki/Adiabatic_process )

So PV^2/7 = constant as i proved in my first post (so no heat exchange)... And from that we also get T.V^-5/7 = constant  which means temp. of gas increases...

(answer is given as BC instead of BA though. Might be wrong)


Scorching goIITian

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19 Feb 2009 16:04:48 IST
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for adiabetic it must have been PV^5/3 = constant.
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20 Feb 2009 19:40:30 IST
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dude, for the final time.........GAMMA =5/3 ONLY FOR IDEAL MONOATOMIC GASES!!!!!!

 

READ THE QUESTION.......ITS NOT MENTIONED ANYWHERE THT GAS IS IDEAL!!!!!!

 

Continuation to Spidey's answer (Read tht before reading the next para) :

the answer is BC......see U have proved tht it is an adiabatic process....ie.no heat exchange with gas and surroundings........and tht means the energy for expansion is taken from the internal energy of the system....this means tht the temp must decrease....excuse me if I'm wrong, but I'd strongly go for BC as my answer!!

 

 




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