KTGHard

Question

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

Options

A.Final temperature in (i) will be greater then in (ii)
B.Final temperature in (ii) will be greater then in (i)
C.Total heat given to the gas in (i) case is greater than in (ii)
D.Total heat given to the gas in (ii) case is greater than in (i)

Solution

From equation PV = nRT
PC < PB     ,  VC = VB and TB > TC
WAB > WAC     (TB − TA) > TC  − TA
So    By Ist law

Q = ᐃU + W
Q = nRᐃT + W        QAB > QAC

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