Q26 / 91 · KVPY 2020 (SB/SX) · Chemistry

The reaction

CaCO3s⇌CaOs+CO2g

is in equilibrium in a closed vessel at 298 K. The partial pressure (in atm) of CO2g in the reaction vessel is closest to:

[Given: The change in Gibbs energies of formation at 298 K and 1 bar for

CaO(s)=-603.501 kJ mol-1

CO2g=-394.389 kJ mol-1

CaCO3s=-1128.79 kJ mol-1

Gas constant R=8.314 J K-1 mol-1]

  • Correct answer
    A
    1.13×10-23
  • B
    0.95
  • C
    1.05
  • D
    8.79×1023

Solution

CaCO3(s)⇌CaO(s)+CO2(g)

ΔrG0=ΔfG0(CaO)+ΔfG0CO2-ΔfG0CaCO3

=-603.501-394.389+1128.79=130.9 kJ mol-1

ΔrG0=-2.303RTlogKP

logKp=130.9×1000-2.303×298×8.314=-22.94

Kp=antilog (-22.94)=1.13×10-23

Hence, the correct answer is option: 'A'.

More Chemical Equilibrium Questions