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

What is the work done in the formation of 1 mole gaseous methane from solid carbon and gaseous hydrogen at 27^ C ? ( R=8.314 J k ⁻¹ mol ⁻¹ )

Options

  1. A-2.4942 kJ
  2. B+2.4942 kJ
  3. C-24.942 kJ
  4. D+24.942 kJ

Correct answer

B. +2.4942 kJ

Step-by-step solution

The balanced chemical equation for the formation of 1 mole of gaseous methane is: C(s) + 2 H ₂ (g) CH ₄ (g) The change in the number of moles of gaseous substances ( n_g ) is: n_g = n_ g, products - n_ g, reactants n_g = 1 - 2 = -1 The work done ( W ) during a chemical reaction at constant temperature and pressure is given by: W = - n_g R T Given: R = 8.314 J K ⁻¹ mol ⁻¹ T = 27^ C = 27 + 273 = 300 K Substituting the values: W = -(-1) 8.314 300 W = +2494.2 J W = +2.4942 kJ Answer: +2.4942 kJ

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