HEAT

A.
P-V diagram of a monoatomic gas is a straight line passing through origin. The molar heat capacity of the gas in the process will be
1. 3R/2
2. R/2
3. 2R
4. 3R

B.
For a gas , molar specific heat in a process is greater than Cc, which relation is possible PαVβ
, Where α and β are
1. 2 , 1/3
2. 1, 2
3. 1,3
4. 2,3

8 Answers

24
eureka123 ·

1
I didnt understand ur ques..On PV graph..there is no straight line passing through oriigin of any process,,

we have isochoric on PT and isobaric on VT

1
yagyadutt Mishra ·

Hi Eureka....in question it is given that PV graph is a straight line passing through origin....
Hence it is a problem with assumption....don't relate it with theory....

Now to the question...
SInce there is straight line on PV curve hence relation in PV will be..

P = m.V
Now we know that PV = nRT
so m.V^2 = n.RT------(1)
...
also work done or energy = ∫p.dv = ∫m.V.dV= mV^2/2
I.e now energy = 1/2*m.V^2 = nRT/2 {from 1}
Now Molar specific heat = energy /n.T
Molar specific heat = nRT/2.n.T = R/2
Hence second option is correct.

Now for second question.....please clearify what is Cc?

1
varun.tinkle ·

n this question p=mv thereofre pv^-1=m a constant c=cv+r/1-x
and here x=-1 therote the anser should be 3/2r

3
msp ·

molar specific heat capacity =1/nΔQ/ΔT
and not workdone/dT

3
iitimcomin ·

abt the molar heat cap for first question

frm process we get ..... P=kV ....

nCdT =nCvdT + PdV ...FIRST LAW OF TD[dont rem. number [3] it think first only hehe]

rearrangin

C = Cv + P/n dV/dT

also

PV=nRT ,,

or kV^2 = nRT

or dV/dT = nR/2kV ,,,,

or nR/2P

C = Cv + R/2 ..

find Cv for monoatomic .. and find C......

and varun mem. formulas like the 1 u stated is harmful for health!!!!![3]

3
iitimcomin ·

question B

assumin by Cc u mean Cv !!!!! [3]

we only need dV/dT >0 [refer prev post!!!]

P^aV^b= c ..

or kV/V^(b/a) = nRT

k V(1-b/a) = nRT ..

clearly ... if 1-b/a > 0 dV/dT>0

or b>a

so option 2,3,4 are right ....

1
shikher mishra ·

to convert a real gas to a ideal gas the conditions favorable are
a:high temperature low pressure

3
iitimcomin ·

wat are u tellin pa ????

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