Question

the enzyme carbonic anhydrase catalyses the hydration of CO2 .This reaction :CO2+H2O-H2CO3,is involved in the transfer of CO2 from tissues to the lungs via the bloodstream .One enzyme molecule hydrates 10^6 molecules of CO2 per second . How many kg of CO2 are hydrated in one hour in one litre by 1×10^-6 M enzyme.

Answer 1

CO2 + H2O ---> H2CO3

Molecular mass of CO2 = 44 g

No. of moles of enzyme =1*10^(-6) moles
No. of molecules of enzymes present that will hydrate CO2 in one hour = 1*10^(-6)*6.023*10^23 molecules
One molecule of enzyme hydrates No. of molecules of CO2 in one hour = 60*60*10^6 Molecules
So, 1*10^(-6)*6.023*10^23 molecules of enzyme will hydrate = 1*10^(-6)*6.023*10^23 * 60*60*10^6 molecules.

6.023 * 10^23 molecules of CO2 = 44 g

Mass of 3600*6.023*10^23 molecules of CO2 =[44/(6.023*10^23)]*3600*6.023*10^23g =158400 grams of CO2

Thus 158.400 kg of CO2 will be produced.