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Question

A diatomic ideal gas undergoes expansion through different processes shown in the column-I. Answer the following questions based on these columns.
Column I Column 2 Column 3(I)P21V3(i)ΔT>0(P)ΔQ>0(II)T51V(ii)ΔT<0(Q)ΔQ=0(III)P51V7(iii)ΔT=0(R)ΔQ<0(IV)P51V4(iv)Cant say(S)Cant say

Which of the combination is correct for process (IV) i.e.
(P51V4)?


A
(IV) (i) (P)
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B
(IV) (ii) (R)
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C
(IV) (iii) (S)
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D
(IV) (ii) (P)
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Solution

The correct option is A (IV) (i) (P)
ΔQ=nCΔT
C=CV+R1x (for the process PVx = constant)
and Cv=52R (for diatmic gas)
As gas is under expansion so PV = nRT can be used for the various process shown to get the temperature variation (ΔT) and hence Δ Q can be found using above equation.

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