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According to question work done by gas is given -150J so that according to it answer will be (d).

  1. T1 = 273 + 27 = 300K
  2. T2 = 273 + 927 = 1200K
  3. For adiabatic process, P1(T1^(γ-1)) = P2(T2^(γ-1))
  4. R1/R2 = (1200/300)^1.4 = 4^1.4

Correct answer: R1/R2 = (1200/300)^1.4 = 4^1.4

Solution

The work done by the gas is negative, indicating compression. The ratio of temperatures (T2/T1) raised to the power of γ (1.4 for diatomic gases) gives the correct ratio of R1/R2 as 4^1.4.

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