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Q.

An ideal gas can be expanded from an initial state to a certain volume through two different processes i) PV2= constant andii)P=KV2 where K is a positive constant. Then

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a

Final temperature in (i) will be greater than in (ii)

b

Final temperature in (ii)will be greater than in (i)

c

Total heat given to the gas in (i) case is greater than in (ii)

d

Final pressure in (i) will be greater than (ii)

answer is B.

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Detailed Solution

(i) As PV2= constant⇒TV= constantIf volume expands temperature decreases(ii) AsP=KV2⇒V3T =ConstantIf volume expands, temperature increases
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An ideal gas can be expanded from an initial state to a certain volume through two different processes i) PV2= constant andii)P=KV2 where K is a positive constant. Then