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Thermal Physics
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
Comments (16)
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
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.
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)
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!!















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