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A thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma$. It is moving with speed $v$ and it's suddenly brought to rest. Assuming no heat is lost to the surroundings, its temperature increases by
  • A$\frac{{(\gamma - 1)}}{{2\gamma R}}M{v^2}\;\;K$
  • B$\frac{{\gamma M{v^2}}}{{2R}}\;\;K$
  • C$\frac{{(\gamma - 1)}}{{2R}}M{v^2}\;\;K$
  • D$\frac{{(\gamma - 1)}}{{2(\gamma + 1)R}}M{v^2}\;\;K$
AIEEE 2011, Medium
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