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MHT CET202120 Sep 2021Evening ShiftChemistryThermodynamics (C)Actual

An ideal gas on isothermal reversible compression from 10 ~L to 5 ~L performs 1730 ~J of work at 300 ~K . Calculate number of moles of gas involved in compression? ( R =8.314 ~J ~K ⁻¹ ~mol ⁻¹ )

Options

  1. A2.5
  2. B2
  3. C1
  4. D3

Correct answer

C. 1

Step-by-step solution

aligned & V ₁=10 ~L , ~V ₂=5 ~L , ~W =1730 ~J , ~T =300 ~K , R =8.314 JK ⁻¹ ~mol ⁻¹, n & =? & ~W _ =-2.303 nRT ₁₀ V ₂ ~V ₁ & 1730 ~J =-2.303 n 8.314 JK ⁻¹ ~mol ⁻¹ 300 ~K ₁₀ ( 5 10 ) & n = 1730 ~J -2.303 8.314 JK ⁻¹ mo ⁻¹ 300 ~K ₁₀(0.5) & n = 1730 -5744.14 (-0.3010) mol & n = 1730 1729 1 ~mol aligned

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