MHT CET202410 May 2024Evening ShiftChemistryThermodynamics (C)Actual
For the reaction CH _ 4( ~g ) + H _ 2( ~g ) C ₂ H _ 6( ~g ) K _ p =3.356 10¹⁷ , calculate G ^ for the reaction at 298 K .
Options
- A-90 ~kJ~mol ⁻¹
- B-100 ~kJ~mol ⁻¹
- C235.6 ~kJ~mol ⁻¹
- D33.56 ~kJ~mol ⁻¹
Correct answer
B. -100 ~kJ~mol ⁻¹
Step-by-step solution
( aligned & G^0=-2.303 R T ₁₀ K_p & R=8.314 JK ⁻¹ ~mol ⁻¹, T=298 ~K & K_P=3.356 10¹⁷ & G^0=-2.303 8.314 298 ₁₀ (3.356 10¹⁷ ) & =-2.303 8.314 Jmol ⁻¹ 298 17.526 & =-100,000 Jmol ⁻¹ & =-100 kJmol ⁻¹ aligned )