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MHT CET202020 Oct 2020Evening ShiftChemistryThermodynamics (C)Actual

An ideal gas expands isothermally and reversibly from 10 ~m ³ to 20 ~m ³ at 300 ~K performing 5 187 ~kJ of work on surrrounding. Calculate number of moles of gas undergoing expansion? ( R =8 314 JK ⁻¹ ~mol ⁻¹ . )

Options

  1. A1.5
  2. B2
  3. C3
  4. D1

Correct answer

C. 3

Step-by-step solution

V ₁=10 ~m ³, ~V ₂=20 ~m ³, ~T =300 ~K W _ =-5.187 ~kJ =-5187 ~J , n =? W _ =-2.303 ~nRT ₁₀ V ₂ ~V ₁ -5187=-2.303 n 8.314 300 ₁₀ 20 10 n = 5187 2.303 8.314 300 ₁₀ 2 = 5187 2.303 8.314 300 0.3010 n =3 ~mol

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