Q.

An ideal gas is expanded from p1,V1,T1 to p2,V2,T2 under different conditions. The correct statement(s) among the following is (are)

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a

If the expansion is carried out freely, it is simultaneously both isothermal as well as adiabatic

b

The work done on the gas is maximum when it is compressed irreversibly from  p2,V2 to p1,V1  against constant pressure p1                                                        

c

The work done by the gas is less when it is expanded reversibly from V1 to V2  under adiabatic conditions as compared to that when expanded reversibly from  V1 to V2 under isothermal conditions

d

The change in internal energy of the gas is (i) zero, if it is expanded reversibly with T1=T2, and (ii) positive, if it is expanded reversibly under adiabatic conditions with T1T2

answer is A, B, C.

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Detailed Solution

in free expansion the heat supplied in zero (z=0)

And work done is zero in both isothermal and adiabatic process

But T1=T2

Question Image

In adiabatic process

PVγ=constant

g is always greater than 1 so, opp. Pressure is less for same exp is

Case of adiabatic process compare to isothermal so work done is less.

Question Image

Work done in compression is more than expansion  or 

            (Area under curve is more) wirrcomp>wrevExp

\ opp., pressure is more in compression PextΔV

In case of adiabatic expansion ΔE

And temperature also ¯.

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