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Q.

1 mole of an ideal gas ACv,m=3R and 2 mole of an ideal B are Cv,m=32R, taken in a container and expanded reversible and adiabatically from 1 litre to 4 litre starting from initial temperature of 320K. ΔE or ΔU for the process is

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a

-240 R

b

-960 R

c

-1920 Cal

d

240 R

answer is C.

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Detailed Solution

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 Cv(avg) =1×3R×2×32R1+2=2Rγ=3/2 T1V1γ-1=T2V2γ-1 320×(1)1/2=T2(4)1/2T2=3202=160K ΔU=nCvΔT=3×2R×(160-320)  =-960R=-1920cal

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