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The enzyme carbonic anhydrase catalyzes the hydration of CO2 gas in red blood cells:                             &

The enzyme carbonic anhydrase catalyzes the hydration of CO2 gas in red blood cells:

                              

                                 CO2 (g) + H2O (L) →H2CO3 (aq)

Determine the ∆Ssys of this reaction at 37 °C (body temperature), and justify the sign.

*Thermodynamic parameters at T=298K and 1 bar

Sm (JK-1 mol-1) Cp (JK-1 MOL-1)
CO2 (g) 213.7 36.8
H2O (L) 69.9 78.2
H2CO3 (aq) 187.4 19.4
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Answer #1

Given reaction is

CO2 (g) + H2O (L) →H2CO3 (aq)

We know,

Delta Srxn = n Sum delta S product – n Sum delta S reactant

n is he coefficient

Lets use given values to find delta S of the reaction

Delta S rxn = 1 x Delta S(H2CO3) – ( 1 x Delta S CO2 + 1 x Delta S H2O )

= 1 x 187.4 – ( 213.7+69.9)

=-96.2 J/K mol

Negative sign

The convention is to use negative sign when there is decrease in entropy.

We know the entropy of the gas is more than the liquid phase so the change is shown by using negative sign.

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