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NEET2010PhysicsKinetic Theory of GasesActual

A monoatomic gas at pressure p₁ and V₁ is compressed adiabatically to 1 8 th its original volume. What is the final pressure of the gas?

Options

  1. A64 p ₁
  2. Bp ₁
  3. C16 p ₁
  4. D32 p ₁

Correct answer

D. 32 p ₁

Step-by-step solution

p ₁ ~V ₁^ 5 / 3 = p ^ ( V ₁ 8 )^ 5 / 3 aligned p^ & =p₁(8)^ 5 / 3 & =p₁ 2^5 p^ & =32 p₁ aligned

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