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Q.

Suppose a diatomic gas gets ionised to a certain extent without any expenditure of heat energy. If the fractional change in the number of moles of the gas be η, then ignoring any energy loss, the fractional change in the temperature of the gas will be

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a

-η(η+1)

b

-η(η+5)

c

η(η+1)

d

η(η+5)

answer is B.

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Detailed Solution

Initially, E = no(52RT)------(i)Given  ∆nno = η   or, ∆n = ηnoNumber of moles of O2 left = (1-n)no∴ Finally, E = (1-η)no(5RT'2)+(2ηno)(3RT'2)-----(ii)Equating equations (i) and (ii), T' = 5T5+ηFractional change in temperature = T'T = 1 = -ηη+5
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