Two moles of an ideal monoatomic gas occupies a volume V at 27 o C . The gas expands adiabatically to a…

Two moles of an ideal monoatomic gas occupies a volume V at 27oC . The gas expands adiabatically to a volume 2V. Calculate (a) the final temperature of the gas and (b) change in its internal energy.

  1. (a)195 K  (b)2.7 kJ
  2. (a)189 K  (b)2.7 kJ
  3. (a)195 K  (b)-2.7 kJ
  4. (a)189 K  (b)-2.7 kJ

Solution

TVγ-1=Constant
γ=53⇒300V23=T2V23
⇒T=189K⇒ΔU=nCvΔT=2×32×8.314×-11=-2.7 kJ

Asked in: JEE Main 2018 (08 Apr)

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