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Q.

Two ideal gases 1 and 2 are in separate piston-cylinder arrangement at volume Vo and pressure P0. Now the gases are compressed adiabatically to volume V' as shown in figure. Then

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a

if gas 1 is monoatomic, gas 2 is diatomic or polyatomic.

b

if gas 1 is diatomic, gas 2 must be monoatomic.

c

if gas 1 is diatomic, gas 2 must be polyatomic.

d

None of the above is true.

answer is B.

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Detailed Solution

For adiabatic process, slope of P-V diagram is given by m=dpdv=-γpv∴m=γpvInitially m=γp0v0From the diagram initially, m1f2For monoatomic f = 3, for diatomic f = 5 and for polyatomic f = 6
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