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COMEDK2018ChemistryThermodynamics (C)

For a reversible reaction, X(g)+3 Y(g) 2 Z(g) H=-40 ~kJ the standard entropies of X, Y and Z are 60,40 and 50 JK ⁻¹ ~mol ⁻¹ respectively. The temperature at which the above reaction attains equilibrium is about

Options

  1. A400 ~K
  2. B500 ~K
  3. C273 ~K
  4. D373 ~K

Correct answer

B. 500 ~K

Step-by-step solution

H=-40 ~kJ =-40 10³ ~J aligned S &= S_ Product - S_ Reactant &=2(50)-3(40)-60 &=100-120-60=-80 G &= H-T S 0 &=-40 10³-T(-80) T &= 40 10³ 80 =500 ~K aligned

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