Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
MHT CET Medical202624 April 2026Evening ShiftChemistryThermodynamics (C)Actual

Determine the temperature at which 2 moles of oxygen gas expands isothermally and reversibly from 2 dm ^3 to 20 dm ^3 performs -11490 J of work [2.303 R = 19.15 JK ⁻¹ mol ⁻¹]

Options

  1. A295 K
  2. B310 K
  3. C305 K
  4. D300 K

Correct answer

D. 300 K

Step-by-step solution

The work done during a reversible isothermal expansion is given by: W = -2.303 nRT ₁₀ ( V₂ V₁ ) Substituting the given values W = -11490 J , n = 2 mol , V₁ = 2 dm ^3 , V₂ = 20 dm ^3 , and 2.303 R = 19.15 J K ⁻¹ mol ⁻¹ : -11490 = -2 19.15 T ₁₀ ( 20 2 ) -11490 = -38.3 T ₁₀(10) -11490 = -38.3 T 1 T = 11490 38.3 = 300 K Answer: 300 K

Practice Thermodynamics (C) on Quantrex Academy →

More from Thermodynamics (C)

A certain organic solvent has H _vap = 28.50 kJ mol ⁻¹ and S _vap = 88.2 J K ⁻¹ mol ⁻¹ at 1 bar. Calculate its normal boiling point (where G = 0 ). 2026Which of the following statements regarding spontaneous process is NOT true? 2026Calculate H for a reaction, 2X_ (g) + Y_ (g) 2Z_ (g) at 298 K if U = -10.5 kJ and R = 8.314 J K ⁻¹ mol ⁻¹ . 2026500 mL of nitrogen gas and 750 mL hydrogen gas were allowed to react at 1 bar pressure according to reaction, N _ 2(g) + 3 H _ 2(g) 2 NH _ 3(g) What is PV type of work done during 2026The relationship between H and U for the reaction, PCl ₃(g) + Cl ₂(g) PCl ₅(g) is given as 2026What would be the heat released in kJ when 450 cm ^3 of 0.02 M H ₂ SO ₄ is mixed with 650 cm ^3 of 0.1 M NaOH ? (Heat of neutralization of H ₂ SO ₄ and NaOH is -114 kJ/mol of H ₂ S 2026Identify from following reactions that it takes place with H = U . 2026Calculate the work done in the following reaction at 300 K , A (g) + B (g) = 2 C (g) [R = 8.314 JK ⁻¹ mol ⁻¹] 2026 Full Thermodynamics (C) list All MHT CET Medical PYQs