Please answer the following question with explanation

**kkudgiri55**17th October 2018, 6:13 PM

_{V}×ΔT = n×(3/2)×R×ΔT..................(1)

_{V}is specific heat at constant volume, R is gas constant and ΔT is increase/decreas of temperature

_{P}×ΔT = n×(5/2)×R×ΔT..................(2)

_{0}.

_{0}to 2P

_{0}at constant volume V

_{0}during the process represented by DA in the P-V diagram,

_{0 }to 2T

_{0}.

_{DA}= (3/2)×n×R×T

_{0}................................................(3)

_{0}.

_{AB}= (5/2)×n×R×2T

_{0 }= 5×n×R×T

_{0 }.................................................(4)

_{0}.

_{BC}= -(3/2)×n×R×2T

_{0 }= -3×n×R×T

_{0 }.................................................(5)

_{CD}= -(5/2)×n×R×T

_{0 }

_{ }.................................................(6)

_{DA }+ Q

_{AB }+ Q

_{BC}+ Q

_{CD }= [ (3/2) + 5 - 3 - (5/2) ]×n×R×T0 = n×R×T0 = P

_{0}×V

_{0}

------------------------------------------------------------------------------------------------

_{0}×V

_{0}) + ( P

_{0}×V

_{0}) = - ( P

_{0}×V

_{0}) ...................(8)

_{0}×V

_{0}

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